Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.4s (18.4%)

Memory

96.5MiB live, 2 760.7MiB allocated

Samples

1.1s	1 839×	1	valid
858.0ms	6 417×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 728.0ms (46.9% of total)

ival-cos: 327.0ms (21.1% of total)

ival-mult: 156.0ms (10.1% of total)

ival-sub: 111.0ms (7.2% of total)

ival-add: 74.0ms (4.8% of total)

ival-div: 58.0ms (3.7% of total)

adjust: 46.0ms (3% of total)

ival-neg: 35.0ms (2.3% of total)

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

exact: 6.0ms (0.4% of total)

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

Bogosity

explain610.0ms (4.7%)

Memory

-45.7MiB live, 437.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
126	0	-	-	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	-	`K`
0	0	-	-	`(neg.f64 l)`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	123	(1.3285049902195874e+82 2.6518430944570696e-89 -1.020946688159549e+141 -1.0451682563244516e-295)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
0	0	-	-	`J`
0	0	-	-	`U`
0	0	-	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`l`
0	0	-	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	123	1
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	38	1

Confusion

	Predicted +	Predicted -
+	34	0
-	109	113

Precision

0.23776223776223776

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	109	1	112

Precision?

0.2361111111111111

Recall?

1.0

Freqs

test

number	freq
0	113
1	125
2	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms	202×	1	valid
72.0ms	268×	0	valid
52.0ms	42×	2	valid

Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-exp: 155.0ms (77.4% of total)

ival-cos: 15.0ms (7.5% of total)

ival-mult: 9.0ms (4.5% of total)

adjust: 6.0ms (3% of total)

ival-sub: 4.0ms (2% of total)

ival-div: 4.0ms (2% of total)

ival-add: 4.0ms (2% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess105.0ms (0.8%)

Memory

34.5MiB live, 78.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs K)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify70.0ms (0.5%)

Memory

-1.6MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize182.0ms (1.4%)

Memory

-14.9MiB live, 126.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.00390625	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.078125	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	29.4472189171208	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

124.0ms	101×	1	valid
15.0ms	134×	0	valid
10.0ms	21×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-exp: 62.0ms (45.9% of total)

ival-neg: 48.0ms (35.6% of total)

ival-cos: 11.0ms (8.2% of total)

ival-mult: 5.0ms (3.7% of total)

adjust: 3.0ms (2.2% of total)

ival-sub: 2.0ms (1.5% of total)

ival-div: 2.0ms (1.5% of total)

ival-add: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

-5.9MiB live, 39.9MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

33 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)

simplify693.0ms (5.4%)

Memory

19.0MiB live, 494.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1758
1	453	1758
2	1467	1648
3	3574	1648
0	8162	1568

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

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)))
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))

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

rewrite282.0ms (2.2%)

Memory

22.2MiB live, 207.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 264

Calls

Call 1

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

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

eval58.0ms (0.4%)

Memory: 14.0MiB live, 101.4MiB allocated
Compiler: Compiled 11 329 to 1 132 computations (90% saved)

prune72.0ms (0.6%)

Memory

-2.8MiB live, 187.7MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	381	11	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	382	11	393

Accuracy

100.0%

Counts

393 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	99.9%	(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
▶	94.4%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l 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))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	92.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	87.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	92.6%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	90.8%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	85.0%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	66.0%	#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))
	85.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
	75.0%	#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 508 to 322 computations (36.6% saved)

simplify157.0ms (1.2%)

Memory

-5.3MiB live, 286.6MiB 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 (.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))))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l 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)))))
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) (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 (.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))))) (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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))
cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 #s(literal 1/3 binary64) (*.f64 l l) #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	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))
cost-diff	0	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)

Rules

6 902×	`lower-fma.f32`
6 886×	`lower-fma.f64`
3 406×	`lower-*.f32`
3 374×	`lower-*.f64`
1 558×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	542
0	94	542
1	201	542
2	465	542
3	959	518
4	1587	518
5	2857	518
0	8201	514

Stop Event

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

Calls

Call 1

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

localize319.0ms (2.5%)

Memory

16.3MiB live, 700.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(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))
accuracy	0.0703125	(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	0.078125	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l 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))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	5.160556131488608	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l 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))))
accuracy	0.0390625	(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	0.07421875	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy	0.078125	(.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	7.058138634351425	#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	0.078125	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.10546875	(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy	3.360684710944592	(.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
accuracy	10.23189224179626	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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	21.723752881390123	#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	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.0390625	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))
accuracy	0.109375	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))

Samples

124.0ms	101×	1	valid
59.0ms	134×	0	valid
26.0ms	21×	2	valid

Compiler

Compiled 386 to 50 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 75.0ms (44.5% of total)

ival-exp: 25.0ms (14.8% of total)

ival-cos: 19.0ms (11.3% of total)

ival-add: 17.0ms (10.1% of total)

const: 15.0ms (8.9% of total)

adjust: 11.0ms (6.5% of total)

ival-sub: 2.0ms (1.2% of total)

ival-sinh: 2.0ms (1.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series172.0ms (1.3%)

Memory

-13.0MiB live, 221.5MiB allocated

Counts

27 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
101.0ms	l	@	inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
8.0ms	J	@	inf	(+ (* (cos (* 1/2 K)) (* J (* l 2))) U)
7.0ms	l	@	inf	(+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)
2.0ms	l	@	-inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
1.0ms	K	@	inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)

simplify375.0ms (2.9%)

Memory

-3.7MiB live, 507.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 526×	`lower-fma.f64`
16 526×	`lower-fma.f32`
6 298×	`lower-*.f64`
6 298×	`lower-*.f32`
4 228×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	9177
1	1149	9123
2	3509	8621
3	7454	8612
0	8328	8139

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 682

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
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(+ 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)))
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)))
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))))
(* 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)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
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)))))
1/3
(+ 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 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
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U
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(- (exp l) (exp (neg l)))
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U
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U
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l
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(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 l (.f64 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 l (.f64 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 l (.f64 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 #s(literal 1/60 binary64) (+.f64 (/.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 #s(literal 1/60 binary64) (+.f64 (/.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 l (.f64 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 #s(literal 1/60 binary64) (+.f64 (/.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 #s(literal 1/60 binary64) (+.f64 (/.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 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 (*.f64 l 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 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l 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 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l 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 (.f64 l l) (fma.f64 (.f64 l 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 (.f64 l l) (fma.f64 (.f64 l 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 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.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 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.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 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.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 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 l l))))))

rewrite393.0ms (3%)

Memory

3.8MiB live, 576.3MiB allocated

Rules

6 918×	`lower-fma.f32`
6 902×	`lower-fma.f64`
4 764×	`lower-*.f32`
4 732×	`lower-*.f64`
3 264×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	421
0	94	397
1	361	396
2	2544	396
0	9018	393

Stop Event

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

Counts

27 → 464

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))))
(fma.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 J (.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (sinh.f64 l) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) U)
(fma.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sinh.f64 l) U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (neg.f64 (*.f64 U U)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) (.f64 #s(literal 2 binary64) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (*.f64 U U))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (neg.f64 (*.f64 U U))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (neg.f64 (.f64 U U))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) (.f64 #s(literal 2 binary64) U))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (neg.f64 (.f64 U U)))) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))) (.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
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(/.f64 (neg.f64 (neg.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)))) (neg.f64 (neg.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 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.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))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))) (fma.f64 (.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (-.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 1/216000 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (-.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.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))))) (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 (.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))))) (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 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))))) (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 (.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))))) (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 (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)) (.f64 (.f64 l l) (.f64 (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) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.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 1/27 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 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))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.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 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.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)) (.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(.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)) (/.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))))

eval184.0ms (1.4%)

Memory: 5.0MiB live, 286.6MiB allocated
Compiler: Compiled 33 921 to 2 425 computations (92.9% saved)

prune124.0ms (1%)

Memory

-0.1MiB live, 278.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1 136	10	1 146
Fresh	5	1	6
Picked	5	0	5
Done	0	0	0
Total	1 146	11	1 157

Accuracy

100.0%

Counts

1 157 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	81.4%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
▶	99.9%	(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
	75.0%	#s(approx (+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
	66.0%	#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))
▶	48.9%	#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))
	48.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	55.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
▶	53.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
▶	55.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
▶	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 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 388 to 252 computations (35.1% saved)

simplify227.0ms (1.8%)

Memory

2.8MiB live, 333.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 J (.f64 l #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
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 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
cost-diff	0	(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))
cost-diff	0	#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)))
cost-diff	0	(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)
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) (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))
cost-diff	0	(*.f64 J l)
cost-diff	0	(fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)
cost-diff	0	#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))
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 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
cost-diff	0	(*.f64 l #s(literal 2 binary64))
cost-diff	0	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
cost-diff	128	(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
cost-diff	768	(/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))

Rules

8 584×	`lower-fma.f32`
8 570×	`lower-fma.f64`
5 852×	`lower-*.f32`
5 834×	`lower-*.f64`
3 198×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	458
0	85	452
1	165	452
2	389	452
3	888	444
4	1674	444
5	3492	444
0	8072	433

Stop Event

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

Calls

Call 1

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

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

localize546.0ms (4.2%)

Memory

40.2MiB live, 705.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.0859375	(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	1.062434932106799	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	22.861467328620158	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	0.03125	(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)
accuracy	0.046875	(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
accuracy	1.062434932106799	#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))
accuracy	15.704199163419283	#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)))
accuracy	0	(*.f64 J l)
accuracy	1.062434932106799	#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)))
accuracy	3.8555268711961057	(fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)
accuracy	10.454876742441003	#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))
accuracy	0	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
accuracy	0	(*.f64 l #s(literal 2 binary64))
accuracy	1.062434932106799	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
accuracy	4.1102802950625215	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.05859375	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
accuracy	0.125	(/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))

Samples

371.0ms	124×	5	exit
68.0ms	52×	1	valid
40.0ms	80×	0	valid

Compiler

Compiled 309 to 50 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-cos: 193.0ms (51.1% of total)

adjust: 58.0ms (15.4% of total)

ival-mult: 53.0ms (14% of total)

ival-add: 19.0ms (5% of total)

ival-exp: 15.0ms (4% of total)

const: 15.0ms (4% of total)

ival-div: 10.0ms (2.6% of total)

ival-sinh: 8.0ms (2.1% of total)

ival-sub: 4.0ms (1.1% of total)

exact: 1.0ms (0.3% of total)

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

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

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

series62.0ms (0.5%)

Memory

-8.1MiB live, 87.3MiB allocated

Counts

24 → 756

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (patch (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l))) (patch (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) U) (patch (+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) U) #<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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (patch #s(approx (+ ( (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)) #<representation binary64>) () ())
#s(alt (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (patch (fma.f64 J (.f64 l #s(literal 2 binary64)) U) #<representation binary64>) () ())
#s(alt (.f64 l #s(literal 2 binary64)) (patch (.f64 l #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #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))) (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 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U) (patch (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) 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) (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)) (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) (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)) #<representation binary64>) () ())
#s(alt (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) (patch (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) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<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 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())
#s(alt (.f64 J (.f64 l #s(literal 2 binary64))) (patch (.f64 J (.f64 l #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 K #s(literal 1/2 binary64))) (patch (cos.f64 (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (patch (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #<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>) () ())

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

Calls

189 calls:

Time	Variable		Point	Expression
10.0ms	J	@	0	(+ (* J (* l 2)) U)
1.0ms	K	@	inf	(+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U)
1.0ms	J	@	0	(+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U)
1.0ms	l	@	inf	(/ 1 (* 2 (sinh l)))
1.0ms	l	@	-inf	(/ 1 (* 2 (sinh l)))

simplify398.0ms (3.1%)

Memory

-25.3MiB live, 470.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 376×	`lower-fma.f64`
15 376×	`lower-fma.f32`
5 880×	`lower-*.f64`
5 880×	`lower-*.f32`
3 452×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	9208
1	994	9072
2	2918	8700
3	6300	8632
0	8606	8040

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 710

Calls

Call 1

Inputs
(* 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)))))
(* 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)))))
(* 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)))))
(* 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)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
(* 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)))))
(* 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)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp 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) (/ 1 (exp l)))))
(* 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)))))
(* 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)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (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)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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)))
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(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
1
(+ 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))
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
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))

Outputs
(* 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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp 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) (/ 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))) (.f64 (.f64 K K) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))))))
(+ (* 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (.f64 (.f64 K K) (.f64 K K)) (.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) (/ 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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) l)) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 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 l (.f64 l (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) l)) (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)))) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))
(* 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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.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)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(/ 1/2 l)
(/.f64 #s(literal 1/2 binary64) l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/.f64 (fma.f64 l (*.f64 l #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/.f64 (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 7/720 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal -31/30240 binary64) #s(literal 7/720 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) l)
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.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)
(* 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 (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)))) (/ U J)))
(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)))) (/ U J)))
(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 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.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 (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 (-.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) (/ 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) 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 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (.f64 (.f64 K K) (.f64 K K)) 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #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 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J l) l)) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64)))) 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))))))
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(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.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 (*.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))
1/384
#s(literal 1/384 binary64)
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(* -1/46080 (pow K 2))
(.f64 (.f64 K K) #s(literal -1/46080 binary64))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(.f64 K (.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(.f64 K (.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(.f64 K (.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* -1/46080 (pow K 2))
(.f64 (.f64 K K) #s(literal -1/46080 binary64))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(.f64 K (.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(.f64 K (.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(.f64 K (.f64 K (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
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 (*.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))

rewrite821.0ms (6.4%)

Memory

-136.9MiB live, 522.0MiB allocated

Rules

6 522×	`lower-fma.f32`
6 508×	`lower-fma.f64`
4 998×	`lower-*.f32`
4 980×	`lower-*.f64`
3 670×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	383
0	85	369
1	321	369
2	2406	369
0	8726	358

Stop Event

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

Counts

24 → 461

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (exp.f64 l)) (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l))) (.f64 #s(literal -1 binary64) (.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (exp.f64 l) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (neg.f64 l)))))
(fma.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))))))
(/.f64 (.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))) #s(literal 1 binary64))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 J)) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))
(/.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 (neg.f64 l) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))))
(/.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 (neg.f64 l) #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.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 2 binary64) (cosh.f64 l)))
(/.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 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 J))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(/.f64 (neg.f64 (.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))) #s(literal -1 binary64))
(/.f64 (neg.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 (neg.f64 l) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 (neg.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 (neg.f64 l) #s(literal 3 binary64)))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(/.f64 (neg.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))))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.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))))) (neg.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (exp.f64 l)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (neg.f64 l)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (exp.f64 l)) (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (exp.f64 l)) (-.f64 (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (neg.f64 l)))) (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (neg.f64 l))))) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (exp.f64 l)) (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (neg.f64 l))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 #s(literal 1 binary64) (.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
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#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 J (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) l))
(.f64 (.f64 #s(literal 2 binary64) l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 J l) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
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(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)
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(-.f64 (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(sinh.f64 l)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 l) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))
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(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 l) #s(literal -2 binary64))) #s(literal 2 binary64))
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(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (-.f64 (.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 l)))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (sinh.f64 l) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))
(.f64 (cosh.f64 l) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(+.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))
(+.f64 (.f64 (.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(-.f64 (/.f64 #s(literal 1/147456 binary64) (-.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))) (/.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64)) (-.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64))))
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(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)) (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (.f64 (.f64 K K) #s(literal -1/17694720 binary64))))
(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)) (+.f64 #s(literal 1/147456 binary64) (-.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64)) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64))) (neg.f64 (+.f64 #s(literal 1/147456 binary64) (-.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64)) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64))) (neg.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64)) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/147456 binary64))) (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (.f64 (.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)))) (neg.f64 (neg.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64)))) (neg.f64 (-.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (.f64 (.f64 K K) #s(literal -1/17694720 binary64))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal 1/147456 binary64)) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 K K) (.f64 K K)) #s(literal 1/2123366400 binary64) #s(literal -1/147456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))

eval151.0ms (1.2%)

Memory: 48.2MiB live, 363.5MiB allocated
Compiler: Compiled 27 041 to 1 592 computations (94.1% saved)

prune200.0ms (1.6%)

Memory

-32.4MiB live, 323.9MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 213	18	1 231
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	1 219	23	1 242

Accuracy

100.0%

Counts

1 242 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
▶	81.4%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	66.0%	(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (/ 1 (* 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) U)
	75.0%	#s(approx (+ (/ (* J (cos (* K 1/2))) (/ 1 (* 2 (sinh l)))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
	66.0%	#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))
	48.9%	#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(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	51.1%	#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 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l 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) (fma.f64 (.f64 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
✓	53.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	55.8%	#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) #s(literal 2 binary64) U)))
	22.2%	#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 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
	36.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U))))
	28.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
	36.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
	22.2%	#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 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
▶	36.2%	#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 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (*.f64 J l)) U)))))
▶	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 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
✓	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 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	25.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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))))))
	34.5%	#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 l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.f64 K K)))))))
	12.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #s(literal -1/4 binary64)))))))
▶	20.6%	#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 (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
	23.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))

Compiler

Compiled 1 025 to 549 computations (46.4% saved)

simplify170.0ms (1.3%)

Memory

40.3MiB live, 297.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l)
cost-diff	0	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (*.f64 J l)) U)))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U))
cost-diff	448	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (*.f64 J l)) U)))
cost-diff	0	(.f64 J (.f64 l #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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	(.f64 J (.f64 l #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
cost-diff	0	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
cost-diff	0	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)

Rules

5 516×	`lower-*.f32`
5 486×	`lower-*.f64`
4 716×	`lower-fma.f32`
4 708×	`lower-fma.f64`
1 698×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	563
0	92	563
1	176	557
2	377	557
3	814	549
4	1847	549
5	3693	549
0	8179	527

Stop Event

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

Calls

Call 1

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

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

localize237.0ms (1.8%)

Memory

-21.0MiB live, 362.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l)
accuracy	0.109375	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
accuracy	21.723752881390123	#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 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
accuracy	31.477199632652663	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64)))
accuracy	3.8945188649812352	(fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))
accuracy	12.549163951328445	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (*.f64 J l)) U))))
accuracy	21.723752881390123	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (*.f64 J l)) U)))))
accuracy	30.63644205871254	(.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (*.f64 J l)) U)))
accuracy	0.14453125	(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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	21.723752881390123	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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	30.52647041712768	#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	31.477199632652663	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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	(.f64 J (.f64 l #s(literal 2 binary64)))
accuracy	12.549163951328445	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64)))))
accuracy	21.723752881390123	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
accuracy	31.517093543689963	#s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.0390625	(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
accuracy	0.109375	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
accuracy	27.93322543137534	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))

Samples

131.0ms	204×	0	valid
46.0ms	52×	1	valid

Compiler

Compiled 337 to 53 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-add: 52.0ms (35.4% of total)

ival-mult: 38.0ms (25.9% of total)

ival-cos: 27.0ms (18.4% of total)

ival-exp: 12.0ms (8.2% of total)

adjust: 4.0ms (2.7% of total)

const: 4.0ms (2.7% of total)

ival-sub: 3.0ms (2% of total)

ival-div: 3.0ms (2% of total)

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

exact: 1.0ms (0.7% of total)

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

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

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

series57.0ms (0.4%)

Memory

-31.3MiB live, 100.7MiB allocated

Counts

23 → 828

Calls

Call 1

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

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

Calls

207 calls:

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

simplify310.0ms (2.4%)

Memory

24.9MiB live, 402.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 984×	`lower-fma.f64`
9 984×	`lower-fma.f32`
7 364×	`lower-*.f64`
7 364×	`lower-*.f32`
3 288×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	519	10779
1	1653	10745
2	5166	10708
0	8540	10134

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 781

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* l (cos (* 1/2 K))))
(* l (+ (* 1/6 (* J (* (pow l 2) (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/120 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/6 (* J (cos (* 1/2 K))))))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/6 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/5040 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/120 (* J (cos (* 1/2 K))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
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(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
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U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
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U
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(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
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(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
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U
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(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
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(+ 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))))
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(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
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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)))
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U
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(+ 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))))))
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(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
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(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 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)))
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(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J l)
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
1
(+ 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 (pow U 2))
(- (* 4 (* (pow J 2) (pow l 2))) (pow U 2))
(- (* 4 (* (pow J 2) (pow l 2))) (pow U 2))
(- (* 4 (* (pow J 2) (pow l 2))) (pow U 2))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* 4 (pow l 2))))
(* -1 (pow U 2))
(- (* 4 (* (pow J 2) (pow l 2))) (pow U 2))
(- (* 4 (* (pow J 2) (pow l 2))) (pow U 2))
(- (* 4 (* (pow J 2) (pow l 2))) (pow U 2))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* 4 (* (pow J 2) (pow l 2)))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* (pow l 2) (+ (* -1 (/ (pow U 2) (pow l 2))) (* 4 (pow J 2))))
(* 4 (* (pow J 2) (pow l 2)))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(+ (* -1 (pow U 2)) (* 4 (* (pow J 2) (pow l 2))))
(* -1 (pow U 2))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* -1 (pow U 2))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* (pow U 2) (- (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) 1))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))

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

rewrite402.0ms (3.1%)

Memory

-18.6MiB live, 372.6MiB allocated

Rules

8 500×	`lower-fma.f32`
8 492×	`lower-fma.f64`
4 730×	`lower-*.f32`
4 700×	`lower-*.f64`
4 422×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	470
0	92	436
1	305	412
2	1950	412
0	8503	394

Stop Event

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

Counts

23 → 375

Calls

Call 1

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

Outputs
(+.f64 U (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 U (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))))))
(fma.f64 J (.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (sinh.f64 l)) #s(literal 2 binary64)) U)
(fma.f64 J (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) U)
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (sinh.f64 l) (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (*.f64 J (sinh.f64 l))) U)
(fma.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) U)
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (sinh.f64 l)) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) (sinh.f64 l) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) U)))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))))) (-.f64 (.f64 U U) (pow.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) U))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))))) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U U (-.f64 (pow.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) U)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))))) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) U))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (fma.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 U (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U))) (.f64 (fma.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))))) (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 U)))))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 (sinh.f64 l) #s(literal 2 binary64)))))))
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(/.f64 (-.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l))))) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (.f64 (.f64 U U) (.f64 U U)))) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 J l) (.f64 J (.f64 l (.f64 J l)))) (.f64 (.f64 (.f64 J l) (.f64 J (.f64 l (.f64 J l)))) #s(literal 64 binary64))) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l)))) (fma.f64 (.f64 U U) (.f64 U U) (.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 J l) (.f64 J (.f64 l (.f64 J l)))) (.f64 (.f64 (.f64 J l) (.f64 J (.f64 l (.f64 J l)))) #s(literal 64 binary64)) (neg.f64 (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U))))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 (.f64 U U)) (-.f64 (neg.f64 (.f64 U U)) (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)))) (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (*.f64 J l))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l)))) (neg.f64 (.f64 (.f64 U U) (.f64 U U)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (*.f64 U U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 J l) (.f64 J (.f64 l (.f64 J l)))) (.f64 (.f64 (.f64 J l) (.f64 J (.f64 l (.f64 J l)))) #s(literal 64 binary64)) (neg.f64 (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U))))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (.f64 U U)) (-.f64 (neg.f64 (.f64 U U)) (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)))) (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l)))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l)))) (neg.f64 (.f64 (.f64 U U) (.f64 U U)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l))))))) (neg.f64 (-.f64 (neg.f64 (.f64 U U)) (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 U U) (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 U U) (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)))) (-.f64 (.f64 U U) (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)))) (.f64 #s(literal 0 binary64) (-.f64 (.f64 U U) (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (*.f64 J l))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l))))) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l))))) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l))))) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l))))) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (*.f64 U U)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)) #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U)))) (fma.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)) #s(literal 0 binary64)) (fma.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)) #s(literal 0 binary64)) (fma.f64 (.f64 U U) (.f64 U U) (.f64 (fma.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)) #s(literal 0 binary64)) (*.f64 U U)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (*.f64 U U))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)))
(.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))
(.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (.f64 J l) (.f64 J (.f64 l (.f64 J l)))) (.f64 (.f64 (.f64 J l) (.f64 J (.f64 l (.f64 J l)))) #s(literal 64 binary64)) (neg.f64 (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 U U)) (-.f64 (neg.f64 (.f64 U U)) (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l)))) (.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (*.f64 J l))))))))
(.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 J (.f64 l (.f64 J l))) (.f64 J (.f64 l (.f64 J l)))) (neg.f64 (.f64 (.f64 U U) (.f64 U U)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (*.f64 U U))))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)

eval233.0ms (1.8%)

Memory: 13.1MiB live, 190.5MiB allocated
Compiler: Compiled 29 671 to 1 473 computations (95% saved)

prune283.0ms (2.2%)

Memory

32.0MiB live, 454.8MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1 172	14	1 186
Fresh	7	9	16
Picked	1	4	5
Done	0	2	2
Total	1 180	29	1 209

Accuracy

100.0%

Counts

1 209 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.4%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	78.1%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
	76.7%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
	72.8%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
	66.0%	(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (/ 1 (* 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) U)
	75.0%	#s(approx (+ (/ (* J (cos (* K 1/2))) (/ 1 (* 2 (sinh l)))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
	66.0%	#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))
	48.9%	#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(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	51.1%	#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 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l 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) (fma.f64 (.f64 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
✓	53.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	55.8%	#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) #s(literal 2 binary64) U)))
	31.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
	34.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
	26.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
	45.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
	22.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
	45.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
✓	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 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
✓	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 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
✓	25.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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))))))
	19.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.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 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (*.f64 J l)) U)))))
	20.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
	12.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #s(literal -1/4 binary64)))))))
	61.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U))))
	50.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
✓	20.6%	#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 (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
	23.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))

Compiler

Compiled 1 682 to 563 computations (66.5% saved)

regimes176.0ms (1.4%)

Memory

4.1MiB live, 379.2MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#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 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (/ 1 (* 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 #s(literal 1/3 binary64) (.f64 l l) #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 (.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))))) (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))
#s(approx (+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
#s(approx (+ (/ (* J (cos (* K 1/2))) (/ 1 (* 2 (sinh l)))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.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)
(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

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

Calls

10 calls:

23.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
21.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
18.0ms	l
18.0ms	K
18.0ms	(+.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
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)

regimes186.0ms (1.4%)

Memory

-19.0MiB live, 445.5MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#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 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (/ 1 (* 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 #s(literal 1/3 binary64) (.f64 l l) #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 (.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))))) (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))
#s(approx (+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
#s(approx (+ (/ (* J (cos (* K 1/2))) (/ 1 (* 2 (sinh l)))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Outputs

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

Calls

10 calls:

32.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
32.0ms	(/.f64 K #s(literal 2 binary64))
19.0ms	U
16.0ms	l
16.0ms	K

Results

Accuracy	Segments	Branch
94.4%	1	`J`
94.4%	1	`l`
96.6%	2	`K`
94.4%	1	`U`
94.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
94.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
94.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
94.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
96.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
96.6%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes97.0ms (0.8%)

Memory

6.8MiB live, 110.7MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#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 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (/ 1 (* 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 #s(literal 1/3 binary64) (.f64 l l) #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 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)

Calls

3 calls:

48.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
33.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	K

Results

Accuracy	Segments	Branch
96.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.8%	2	`K`
95.8%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes132.0ms (1%)

Memory

31.0MiB live, 265.0MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#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 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (/ 1 (* 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 #s(literal 1/3 binary64) (.f64 l l) #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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

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

Calls

10 calls:

17.0ms	l
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
12.0ms	K

Results

Accuracy	Segments	Branch
93.6%	2	`K`
93.6%	2	`(/.f64 K #s(literal 2 binary64))`
87.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
87.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
87.9%	1	`J`
93.2%	3	`l`
87.9%	1	`U`
87.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
90.0%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
95.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes16.0ms (0.1%)

Memory

-16.4MiB live, 29.5MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#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 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (/ 1 (* 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
94.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes70.0ms (0.5%)

Memory

-11.5MiB live, 87.6MiB allocated

Counts

40 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#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 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)

Outputs

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

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

Calls

4 calls:

32.0ms	l
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms	(/.f64 K #s(literal 2 binary64))
11.0ms	K

Results

Accuracy	Segments	Branch
91.8%	5	`l`
85.0%	2	`K`
85.0%	2	`(/.f64 K #s(literal 2 binary64))`
92.2%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes35.0ms (0.3%)

Memory

-10.3MiB live, 35.3MiB allocated

Counts

39 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#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))

Outputs

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

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

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

Calls

2 calls:

22.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
10.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
87.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
91.1%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes66.0ms (0.5%)

Memory

35.8MiB live, 178.7MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))

Outputs

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

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

Calls

6 calls:

12.0ms	U
11.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
11.0ms	J
10.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
10.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
81.4%	1	`U`
81.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
81.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
83.6%	2	`J`
81.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
88.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes35.0ms (0.3%)

Memory

-30.7MiB live, 58.4MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) 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) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 (.f64 K K) (fma.f64 (.f64 J l) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (.f64 K K))) (/.f64 U (*.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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J l) U) #s(literal -1 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) U) (fma.f64 (.f64 J l) (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (.f64 J l) (fma.f64 K (*.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 J l) (.f64 (.f64 J l) (.f64 J l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 J l))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J (.f64 l (.f64 J l))) (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U))) (/.f64 (-.f64 (.f64 (.f64 J l) (.f64 #s(literal 4 binary64) (.f64 J l))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
78.1%	1	`l`
85.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes23.0ms (0.2%)

Memory

44.6MiB live, 44.6MiB 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 (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx ( (* J (cos (* K 1/2))) l) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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 (+ (* J (* l 2)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (.f64 (fma.f64 K (.f64 K #s(literal -1/4 binary64)) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) 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 (.f64 J l) (.f64 K #s(literal -1/4 binary64))) K (fma.f64 J (.f64 #s(literal 2 binary64) l) U))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (neg.f64 (.f64 U U))) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 J (.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 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) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) #s(approx (/ 1 (- ( 2 (* J l)) U)) (/.f64 #s(literal -1 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 K K) #s(literal -1/46080 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 #s(approx (+ ( 4 (* (* J l) (* J l))) (neg (* U U))) (.f64 J (.f64 J (.f64 (.f64 l l) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 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) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (neg.f64 (.f64 U U))) (-.f64 (.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) (.f64 (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) U) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (.f64 l #s(literal 2 binary64)) U)) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.7%	1	`K`
76.7%	1	`(/.f64 K #s(literal 2 binary64))`
84.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes33.0ms (0.3%)

Memory

-26.8MiB live, 45.4MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
72.8%	1	`U`
72.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
72.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
72.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
72.8%	1	`J`
80.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes38.0ms (0.3%)

Memory

-0.1MiB live, 46.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
61.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
61.1%	1	`J`
61.1%	1	`U`
61.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
61.1%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
61.1%	1	`K`
61.1%	1	`(/.f64 K #s(literal 2 binary64))`
61.1%	1	`l`
61.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
68.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes49.0ms (0.4%)

Memory

-41.7MiB live, 5.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
63.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes27.0ms (0.2%)

Memory

46.2MiB live, 46.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
55.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
55.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
55.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
55.8%	1	`J`
55.8%	1	`K`
55.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
55.8%	1	`(/.f64 K #s(literal 2 binary64))`
57.7%	2	`l`
55.8%	1	`U`
60.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes8.0ms (0.1%)

Memory

-32.2MiB live, 13.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
55.8%	1	`l`
55.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes15.0ms (0.1%)

Memory

33.0MiB live, 33.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

1.0ms	(/.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)
1.0ms	U
1.0ms	l
1.0ms	J

Results

Accuracy	Segments	Branch
20.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
20.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
20.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
20.6%	1	`J`
20.6%	1	`K`
20.6%	1	`U`
20.6%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
20.6%	1	`(/.f64 K #s(literal 2 binary64))`
20.6%	1	`l`
20.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07416715853551747	7.638694192892525

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	0.2763887430430932	0.28029951374156115

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	0.2763887430430932	0.28029951374156115

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch3.0ms (0%)

Memory

-47.9MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.2763887430430932	0.28029951374156115

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2763887430430932	0.28029951374156115
0.0ms	-0.47551205630533755	-0.4692698172895524

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2763887430430932	0.28029951374156115
0.0ms	-0.47551205630533755	-0.4692698172895524

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0008663819703043094	0.00575757433446051

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0008663819703043094	0.00575757433446051

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0008663819703043094	0.00575757433446051

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0008663819703043094	0.00575757433446051

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0008663819703043094	0.00575757433446051

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0008663819703043094	0.00575757433446051

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.4030176696213128	-0.3908512901784578

Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify13.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1016
1	195	1016

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #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) (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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2116691824864133/4503599627370496 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2116691824864133/4503599627370496 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))

Outputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #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) (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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3602879701896397/36028797018963968 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U) (+.f64 U (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l 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))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))))) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2116691824864133/4503599627370496 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2116691824864133/4503599627370496 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 l #s(literal 2 binary64))) U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2116691824864133/4503599627370496 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2116691824864133/4503599627370496 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1261007895663739/4503599627370496 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 l #s(literal 2 binary64))) U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 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))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* (* J l) (+ (* -1/4 (* K K)) 2)) U) (.f64 J (.f64 l (.f64 (.f64 K K) #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) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))

soundness1.4s (10.9%)

Memory

37.6MiB live, 1 118.7MiB allocated

Rules

16 526×	`lower-fma.f64`
16 526×	`lower-fma.f32`
16 158×	`lower-fma.f64`
16 158×	`lower-fma.f32`
15 376×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	9208
1	994	9072
2	2918	8700
3	6300	8632
0	8606	8040
0	519	10779
1	1653	10745
2	5166	10708
0	8540	10134
0	145	1758
1	453	1758
2	1467	1648
3	3574	1648
0	8162	1568
0	342	9177
1	1149	9123
2	3509	8621
3	7454	8612
0	8328	8139
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37

Stop Event

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

Compiler

Compiled 1 329 to 704 computations (47% saved)

preprocess171.0ms (1.3%)

Memory: -29.4MiB live, 259.3MiB allocated
Remove: (abs K)
Compiler: Compiled 1 128 to 264 computations (76.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.4s (18.4%)

explain610.0ms (4.7%)

preprocess105.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify70.0ms (0.5%)

localize182.0ms (1.4%)

series34.0ms (0.3%)

simplify693.0ms (5.4%)

rewrite282.0ms (2.2%)

eval58.0ms (0.4%)

prune72.0ms (0.6%)

simplify157.0ms (1.2%)

localize319.0ms (2.5%)

series172.0ms (1.3%)

simplify375.0ms (2.9%)

rewrite393.0ms (3%)

eval184.0ms (1.4%)

prune124.0ms (1%)

simplify227.0ms (1.8%)

localize546.0ms (4.2%)

series62.0ms (0.5%)

simplify398.0ms (3.1%)

rewrite821.0ms (6.4%)

eval151.0ms (1.2%)

prune200.0ms (1.6%)

simplify170.0ms (1.3%)

localize237.0ms (1.8%)

series57.0ms (0.4%)

simplify310.0ms (2.4%)

rewrite402.0ms (3.1%)

eval233.0ms (1.8%)

prune283.0ms (2.2%)

regimes176.0ms (1.4%)

regimes186.0ms (1.4%)

regimes97.0ms (0.8%)

regimes132.0ms (1%)

regimes16.0ms (0.1%)

regimes70.0ms (0.5%)

regimes35.0ms (0.3%)

regimes66.0ms (0.5%)

regimes35.0ms (0.3%)

regimes23.0ms (0.2%)

regimes33.0ms (0.3%)

regimes38.0ms (0.3%)

regimes49.0ms (0.4%)

regimes27.0ms (0.2%)

regimes8.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.4s (10.9%)

preprocess171.0ms (1.3%)

end0.0ms (0%)

Profiling