Metrics for Maksimov and Kolovsky, Equation (4)

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.9s (12.3%)

Memory

47.3MiB live, 2 759.0MiB allocated

Samples

810.0ms	1 947×	1	valid
697.0ms	6 309×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-exp: 530.0ms (42.7% of total)

ival-cos: 313.0ms (25.2% of total)

ival-mult: 143.0ms (11.5% of total)

adjust: 53.0ms (4.3% of total)

ival-div: 52.0ms (4.2% of total)

ival-sub: 51.0ms (4.1% of total)

ival-add: 49.0ms (3.9% of total)

ival-neg: 34.0ms (2.7% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.5% of total)

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

Bogosity

preprocess116.0ms (0.8%)

Memory

-2.0MiB live, 118.0MiB 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 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Symmetry

(abs K)

explain267.0ms (1.8%)

Memory

21.1MiB live, 373.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
128	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	120	(-1.505941844955672e-13 -8.542467865594436e-151 1.3091800945206565e+47 9.34968623184897e-72)	-	`(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	120	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	41	0

Confusion

	Predicted +	Predicted -
+	38	0
-	103	115

Precision

0.2695035460992908

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	103	1	114

Precision?

0.2676056338028169

Recall?

1.0

Freqs

test

number	freq
0	115
1	121
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms	198×	1	valid
40.0ms	264×	0	valid
25.0ms	50×	2	valid

Compiler

Compiled 164 to 60 computations (63.4% saved)

Precisions

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

ival-exp: 45.0ms (45.8% of total)

ival-cos: 23.0ms (23.4% of total)

ival-mult: 9.0ms (9.2% of total)

adjust: 7.0ms (7.1% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.3%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify72.0ms (0.5%)

Memory

-12.7MiB live, 64.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (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

localize104.0ms (0.7%)

Memory

21.5MiB live, 101.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	accuracy	99.9%	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	53.7%	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

40.0ms	132×	0	valid
32.0ms	99×	1	valid
12.0ms	25×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-exp: 21.0ms (47.5% of total)

ival-cos: 8.0ms (18.1% of total)

ival-mult: 5.0ms (11.3% of total)

adjust: 3.0ms (6.8% of total)

ival-sub: 2.0ms (4.5% of total)

ival-div: 2.0ms (4.5% of total)

ival-add: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory

-7.7MiB live, 29.7MiB 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
3.0ms	J	@	0	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	K	@	0	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
1.0ms	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	l	@	0	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)

simplify405.0ms (2.7%)

Memory

-40.7MiB live, 655.7MiB 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 (.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))) (.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) (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 (.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))) (.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 (.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 J (.f64 l l)) (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))

rewrite284.0ms (1.9%)

Memory

31.1MiB live, 271.0MiB allocated

Algorithm

1×	batch-egg-rewrite

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)))

eval96.0ms (0.6%)

Memory: 10.2MiB live, 83.4MiB allocated
Compiler: Compiled 11 329 to 1 133 computations (90% saved)

prune109.0ms (0.7%)

Memory

-14.9MiB live, 117.4MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	380	12	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	12	393

Accuracy

100.0%

Counts

393 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	99.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
	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)
	50.6%	(+.f64 (.f64 (.f64 J (.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)))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	92.2%	(+.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)
	91.3%	(+.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)
▶	86.1%	(+.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)
▶	91.1%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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)
▶	88.4%	(+.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)
▶	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
	83.7%	#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))
	72.5%	#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 586 to 364 computations (37.9% saved)

simplify327.0ms (2.2%)

Memory

-12.7MiB live, 343.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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))))
✓	cost-diff	128	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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)
✓	cost-diff	320	(fma.f64 (.f64 J (.f64 l l)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 J #s(literal 1/3 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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)))
✓	cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	128	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	cost-diff	320	(fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))
✓	cost-diff	0	(.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)))))
✓	cost-diff	0	(.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))))
✓	cost-diff	128	(+.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)
✓	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

9 608×	`lower-fma.f32`
9 592×	`lower-fma.f64`
4 534×	`lower-*.f32`
4 496×	`lower-*.f64`
2 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	582
0	100	582
1	209	576
2	509	571
3	1347	544
4	2378	544
5	5065	544
0	8160	524

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

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

localize700.0ms (4.6%)

Memory

21.6MiB live, 380.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 J #s(literal 1/3 binary64))
✓	accuracy	99.3%	(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	accuracy	91.1%	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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)))))
✓	accuracy	87.3%	(.f64 J (.f64 l l))
✓	accuracy	99.9%	(.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))))
✓	accuracy	99.7%	(.f64 l (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
✓	accuracy	93.1%	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
✓	accuracy	88.4%	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
✓	accuracy	99.9%	(.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
✓	accuracy	99.9%	(.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))))
✓	accuracy	82.7%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) K)
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.9%	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
✓	accuracy	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))

Samples

206.0ms	25×	2	valid
203.0ms	132×	0	valid
89.0ms	99×	1	valid

Compiler

Compiled 427 to 54 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 413.0ms

ival-mult: 188.0ms (45.5% of total)

ival-exp: 120.0ms (29% of total)

ival-cos: 61.0ms (14.8% of total)

ival-add: 14.0ms (3.4% of total)

adjust: 12.0ms (2.9% of total)

const: 12.0ms (2.9% of total)

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

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

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

ival-neg: 1.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series223.0ms (1.5%)

Memory

-16.6MiB live, 169.9MiB allocated

Counts

29 → 780

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

Calls

195 calls:

Time	Variable		Point	Expression
71.0ms	J	@	0	(+ (* l (* l (* J (+ (* (* l l) 1/60) 1/3)))) (* J 2))
10.0ms	J	@	inf	(* J 1/3)
9.0ms	J	@	0	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
7.0ms	J	@	0	(+ (* (* l l) (+ (* (* J (* l l)) (+ (* (* l l) 1/2520) 1/60)) (* J 1/3))) (* J 2))
4.0ms	l	@	inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)

simplify505.0ms (3.3%)

Memory

13.4MiB live, 814.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 990×	`lower-fma.f64`
16 990×	`lower-fma.f32`
7 218×	`lower-*.f64`
7 218×	`lower-*.f32`
4 994×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	10597
1	1273	10473
2	3944	9816
0	8323	9271

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 754

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

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

rewrite459.0ms (3%)

Memory

1.6MiB live, 775.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 872×	`lower-fma.f32`
6 856×	`lower-fma.f64`
4 784×	`lower-*.f32`
4 746×	`lower-*.f64`
2 996×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	455
0	100	433
1	373	427
2	2726	427
0	8484	419

Stop Event

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

Counts

29 → 493

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 (.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 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))))
(.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)))))
#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 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 J #s(literal 2 binary64)))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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)))
(fma.f64 (.f64 J (.f64 l l)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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))))
(sinh.f64 l)
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(.f64 l (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(.f64 J (.f64 l l))
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 J #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))))
(/.f64 (neg.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 (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 (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 (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 (neg.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)))) (neg.f64 (-.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 (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)))) #s(literal -1 binary64))
(pow.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)))) #s(literal -1 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))) (/.f64 #s(literal 1 binary64) (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 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 #s(literal 1 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 (.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 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal -2 binary64))
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(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l)) (-.f64 (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l))) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l))))))
(.f64 J (.f64 (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l))
(.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
(.f64 (.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) l)
(.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) J)
(.f64 J (.f64 l l))
(.f64 l (.f64 J l))
(.f64 (.f64 l l) J)
(.f64 (.f64 J l) l)
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 J #s(literal 2 binary64) (.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))))
(+.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))
(+.f64 (.f64 (.f64 l l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(-.f64 (/.f64 #s(literal 1/3600 binary64) (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (/.f64 (.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l))) (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l #s(literal 1/2520 binary64)) l #s(literal 1/60 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64))))
(/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))
(/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)))))
(/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64))) (neg.f64 (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(/.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)))) (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) (.f64 (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) #s(literal 1/3600 binary64))) (.f64 (fma.f64 l (.f64 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))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)))) (neg.f64 (neg.f64 (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l))))) (neg.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(*.f64 J #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) J)

eval167.0ms (1.1%)

Memory: 16.9MiB live, 436.3MiB allocated
Compiler: Compiled 39 068 to 2 667 computations (93.2% saved)

prune192.0ms (1.3%)

Memory

-9.1MiB live, 311.0MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 233	14	1 247
Fresh	6	1	7
Picked	4	1	5
Done	0	0	0
Total	1 243	16	1 259

Accuracy

100.0%

Counts

1 259 → 16

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)
	92.2%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
	91.3%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 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)
▶	71.9%	(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)
	80.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	86.1%	(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
	88.4%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 J #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)
	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
	45.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	47.9%	#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 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 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 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
▶	44.5%	#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)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
▶	54.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
▶	27.9%	#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 652 to 418 computations (35.9% saved)

simplify219.0ms (1.4%)

Memory

8.2MiB live, 406.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
✓	cost-diff	0	(.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))
✓	cost-diff	0	(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)
✓	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	(*.f64 l #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
✓	cost-diff	640	(fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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

4 944×	`lower-*.f32`
4 920×	`lower-*.f64`
4 696×	`lower-fma.f32`
4 684×	`lower-fma.f64`
2 040×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	444
0	86	438
1	160	438
2	361	432
3	1095	426
4	2744	426
5	5679	426
0	8210	410

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

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

localize535.0ms (3.5%)

Memory

1.9MiB live, 714.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	99.9%	(.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
✓	accuracy	99.9%	(.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))
✓	accuracy	75.7%	#s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.8%	(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	98.5%	#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)))))
✓	accuracy	65.3%	#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	98.5%	#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)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
✓	accuracy	94.4%	(.f64 l (.f64 J (*.f64 K K)))
✓	accuracy	92.2%	(.f64 J (.f64 K K))
✓	accuracy	78.2%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U)))
✓	accuracy	100.0%	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
✓	accuracy	100.0%	(*.f64 l #s(literal 2 binary64))
✓	accuracy	98.5%	#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	93.4%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(/.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

368.0ms	124×	5	exit
51.0ms	61×	1	valid
27.0ms	71×	0	valid

Compiler

Compiled 310 to 50 computations (83.9% saved)

Precisions

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

ival-cos: 182.0ms (48.2% of total)

ival-mult: 57.0ms (15.1% of total)

adjust: 56.0ms (14.8% of total)

ival-add: 27.0ms (7.1% of total)

ival-sinh: 18.0ms (4.8% of total)

ival-exp: 16.0ms (4.2% of total)

ival-div: 11.0ms (2.9% of total)

const: 5.0ms (1.3% 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)

series72.0ms (0.5%)

Memory

-22.9MiB live, 109.0MiB allocated

Counts

24 → 780

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 (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U)) (patch (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) 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) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 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)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U))) (patch #s(approx (+ ( (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 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 (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) (patch (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) #<representation binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())
#s(alt (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (patch (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (patch #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 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 (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())
#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>) () ())) ())
#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 inf 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 inf 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 inf 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 inf 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 -inf 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 -inf 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 -inf 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 -inf 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 (- (exp l) (/ 1 (exp l)))) (taylor 0 K) (#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 (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 K) (#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 (- (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 (/.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 (- (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 (/.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 inf K) (#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 inf K) (#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 inf K) (#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 inf K) (#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 -inf K) (#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 -inf K) (#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 -inf K) (#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 -inf K) (#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 (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 l) (#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 (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (/.f64 (.f64 J (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 (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))) (taylor 0 l) (#s(alt (/.f64 (.f64 J (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 (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K)))))))))) (taylor 0 l) (#s(alt (/.f64 (.f64 J (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 inf l) (#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 inf l) (#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 inf l) (#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 inf l) (#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 -inf l) (#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 -inf l) (#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 -inf l) (#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 -inf l) (#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 (/ 1/2 l) (taylor 0 l) (#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 (/ (+ 1/2 (* -1/12 (pow l 2))) l) (taylor 0 l) (#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 (/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l) (taylor 0 l) (#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 (/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l) (taylor 0 l) (#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 (/ 1 (- (exp l) (/ 1 (exp l)))) (taylor inf l) (#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 (/ 1 (- (exp l) (/ 1 (exp l)))) (taylor inf l) (#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 (/ 1 (- (exp l) (/ 1 (exp l)))) (taylor inf l) (#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 (/ 1 (- (exp l) (/ 1 (exp l)))) (taylor inf l) (#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 (/ 1 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#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 (/ 1 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#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 (/ 1 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#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 (/ 1 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#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 U (taylor 0 J) (#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>) () ())) ())
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#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor 0 K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (pow K 2)) (taylor -inf K) (#s(alt (.f64 J (.f64 K K)) (patch (.f64 J (.f64 K K)) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf l) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf J) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor 0 K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor inf K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt (* J (* (pow K 2) l)) (taylor -inf K) (#s(alt (.f64 l (.f64 J (.f64 K K))) (patch (.f64 l (.f64 J (.f64 K K))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 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 (+ 1 (* -1/8 (pow K 2))) (taylor 0 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 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (taylor 0 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 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8))) (taylor 0 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>) () ())) ())
#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>) () ())) ())
#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

195 calls:

Time	Variable		Point	Expression
14.0ms	J	@	0	(+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U))
1.0ms	J	@	0	(+ (* J (* l 2)) U)
1.0ms	K	@	inf	(+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U))
1.0ms	l	@	0	(+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U))
1.0ms	l	@	inf	(+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U))

simplify728.0ms (4.8%)

Memory

-196.9MiB live, 761.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 524×	`lower-fma.f64`
16 524×	`lower-fma.f32`
6 972×	`lower-*.f64`
6 972×	`lower-*.f32`
4 876×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	10142
1	1183	10106
2	3693	9532
0	8207	8958

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 737

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

rewrite405.0ms (2.7%)

Memory

56.6MiB live, 747.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 674×	`lower-fma.f32`
6 662×	`lower-fma.f64`
5 226×	`lower-*.f32`
5 202×	`lower-*.f64`
3 796×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	363
0	86	351
1	298	351
2	2168	351
0	8662	341

Stop Event

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

Counts

24 → 512

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))
(fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.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)))
(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)
(.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))
(.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
#s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(sinh.f64 l)
(.f64 J (.f64 K K))
(.f64 l (.f64 J (*.f64 K K)))
(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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)))))
(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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)))))
(/.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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))) #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 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64)))
(/.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 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64))))
(/.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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)))) #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 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #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 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64)))))
(/.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)))))
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(.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J l)))
(.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 #s(literal 2 binary64) (.f64 J l)) (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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) l)
(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J l)) #s(literal 2 binary64))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))
(.f64 J (.f64 #s(literal 2 binary64) l))
(.f64 #s(literal 2 binary64) (.f64 J l))
(.f64 l (.f64 #s(literal 2 binary64) J))
(.f64 (.f64 #s(literal 2 binary64) l) J)
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 J #s(literal 2 binary64)) l)
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(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))))) (/.f64 (pow.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))) #s(literal 2 binary64)) (-.f64 U (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))))))
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(fma.f64 J (.f64 (.f64 (sinh.f64 l) #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 #s(literal 2 binary64) (.f64 J (.f64 (sinh.f64 l) #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))) U)
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(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
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(.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (sinh.f64 l)))
(.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sinh.f64 l))
(.f64 (.f64 (sinh.f64 l) #s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) J)
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(.f64 #s(approx (cos ( K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J)
#s(approx (cos (* K 1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
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(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 l) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 l)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))) (+.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64)))) (/.f64 (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64)))))
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(sinh.f64 l)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 l) #s(literal -2 binary64))))
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(/.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))))
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(.f64 J (.f64 K K))
(.f64 K (.f64 J K))
(.f64 (.f64 K K) J)
(.f64 (.f64 J K) K)
(.f64 J (.f64 (*.f64 K K) l))
(.f64 l (.f64 J (*.f64 K K)))
(.f64 (.f64 K K) (*.f64 J l))
(.f64 (.f64 J (*.f64 K K)) l)
(.f64 (.f64 J K) (*.f64 K l))
(.f64 (.f64 J l) (*.f64 K K))
(.f64 (.f64 l (*.f64 K K)) J)
(.f64 (.f64 l (*.f64 J K)) K)
(.f64 (.f64 (*.f64 J l) K) K)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))

eval182.0ms (1.2%)

Memory: -36.2MiB live, 334.9MiB allocated
Compiler: Compiled 38 106 to 1 865 computations (95.1% saved)

prune229.0ms (1.5%)

Memory

-4.2MiB live, 391.5MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1 294	18	1 312
Fresh	5	5	10
Picked	2	3	5
Done	0	1	1
Total	1 301	27	1 328

Accuracy

100.0%

Counts

1 328 → 27

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)
▶	92.2%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
	91.3%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 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)
	67.2%	(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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
	66.4%	(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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
	63.5%	(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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U)
	80.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	86.1%	(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
	88.4%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
	62.4%	(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
	80.9%	(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
✓	44.5%	#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)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
✓	54.3%	#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)))
	16.4%	#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 8 binary64) (.f64 (.f64 J (.f64 J J)) (.f64 l (.f64 l 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)))))))
	41.0%	#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)) (.f64 (neg.f64 U) U)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U))))
	28.0%	#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))))
▶	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
✓	27.9%	#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)))))
	29.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #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))))))
▶	11.1%	#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
	25.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
▶	47.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U)))))))
	57.5%	#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 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U) U))))
	59.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))
	54.2%	#s(approx (+ (* (* J (- (exp 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))))))
▶	20.0%	#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))))))
	28.1%	#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)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))

Compiler

Compiled 1 132 to 672 computations (40.6% saved)

simplify421.0ms (2.8%)

Memory

-30.2MiB live, 524.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) l))
✓	cost-diff	0	(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J))
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U)))))))
✓	cost-diff	256	(neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U))))
✓	cost-diff	1024	(.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U)))
✓	cost-diff	0	(.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))
✓	cost-diff	0	#s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))
✓	cost-diff	0	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)

Rules

12 738×	`lower-fma.f32`
12 726×	`lower-fma.f64`
4 810×	`lower-*.f32`
4 774×	`lower-*.f64`
2 012×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	847
0	112	831
1	246	782
2	646	765
3	1838	765
4	3905	750
5	7969	750
0	8743	723

Stop Event

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

Calls

Call 1

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

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

localize377.0ms (2.5%)

Memory

8.0MiB live, 315.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) l))
✓	accuracy	99.8%	(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)
✓	accuracy	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
✓	accuracy	50.3%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J))
✓	accuracy	94.8%	(.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	94.6%	(/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U)
✓	accuracy	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U)))))))
✓	accuracy	59.2%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U))))))
✓	accuracy	90.4%	(.f64 l (.f64 (.f64 K K) (.f64 K K)))
✓	accuracy	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
✓	accuracy	59.2%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))
✓	accuracy	45.4%	#s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))
✓	accuracy	100.0%	(.f64 J (.f64 l #s(literal 2 binary64)))
✓	accuracy	78.4%	#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	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
✓	accuracy	50.3%	#s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 l (.f64 l l))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.2%	(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	89.6%	#s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))

Samples

138.0ms	195×	0	valid
68.0ms	61×	1	valid

Compiler

Compiled 499 to 70 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 54.0ms (31.3% of total)

const: 35.0ms (20.3% of total)

ival-add: 33.0ms (19.2% of total)

ival-cos: 19.0ms (11% of total)

ival-exp: 12.0ms (7% of total)

adjust: 7.0ms (4.1% of total)

ival-div: 4.0ms (2.3% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

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

series130.0ms (0.9%)

Memory

-10.7MiB live, 157.6MiB allocated

Counts

26 → 936

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) (patch (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #<representation binary64>) () ())
#s(alt (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (patch (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 K #s(literal 1/2 binary64))) (patch (cos.f64 (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())
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#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))) (patch (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))) #<representation binary64>) () ())
#s(alt (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U))) (patch (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U)))) (patch (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U))))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U)))))) (patch #s(approx (+ ( (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) 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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J))) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J) (patch (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) (patch (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())
#s(alt #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) (patch #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 l l)) (patch (.f64 l (.f64 l l)) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 (.f64 K K) (.f64 K K))) (patch (.f64 l (.f64 (.f64 K K) (.f64 K K))) #<representation binary64>) () ())
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#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt U (taylor 0 J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J))) (taylor inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt U (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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<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 #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<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 #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1))) (taylor -inf U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J l))) (taylor 0 K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))) (taylor 0 K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))) (taylor 0 K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))) (taylor 0 K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor inf K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor inf K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor inf K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor inf K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor -inf K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor -inf K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor -inf K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor -inf K) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor inf J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J))) (taylor inf J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J))) (taylor inf J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J))) (taylor inf J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor -inf J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor inf l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor -inf l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l))))) (taylor -inf l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l))))) (taylor -inf l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l))))) (taylor -inf l) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt U (taylor inf U) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt U (taylor -inf U) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1))) (taylor -inf U) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1))) (taylor -inf U) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1))) (taylor -inf U) (#s(alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) (patch #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) (taylor inf J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J)))) (taylor inf J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J)))) (taylor inf J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J)))) (taylor inf J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))) (taylor -inf J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J)))))) (taylor -inf J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J)))))) (taylor -inf J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J)))))) (taylor -inf J) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 l) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 l) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 l) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 l) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))) (taylor inf l) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l)))) (taylor inf l) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l)))) (taylor inf l) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l)))) (taylor inf l) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ U (* 2 (* J l))) (taylor 0 K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))) (taylor 0 K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))) (taylor 0 K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/192 (* J (* (pow K 4) l))) (taylor inf K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l)))) (taylor inf K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4)))))) (taylor inf K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4)))))) (taylor inf K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l)))) (taylor -inf K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4)))))) (taylor -inf K) (#s(alt #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) (patch #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/192 (* J (* (pow K 4) l))) (taylor -inf J) (#s(alt (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))) (patch (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/192 (* J (* (pow K 4) l))) (taylor -inf J) (#s(alt (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))) (patch (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (taylor -inf l) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (taylor -inf l) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (taylor -inf l) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 l) (taylor 0 K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/4 (* (pow K 2) l)) (* 2 l)) (taylor 0 K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))) (taylor 0 K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))) (taylor 0 K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/192 (* (pow K 4) l)) (taylor inf K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (* 1/192 l))) (taylor inf K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (+ (* 1/192 l) (* 2 (/ l (pow K 4)))))) (taylor inf K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (+ (* 1/192 l) (* 2 (/ l (pow K 4)))))) (taylor inf K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/192 (* (pow K 4) l)) (taylor -inf K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (* 1/192 l))) (taylor -inf K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (+ (* 1/192 l) (* 2 (/ l (pow K 4)))))) (taylor -inf K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (+ (* 1/192 l) (* 2 (/ l (pow K 4)))))) (taylor -inf K) (#s(alt (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())

Calls

234 calls:

Time	Variable		Point	Expression
23.0ms	l	@	inf	(* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))
1.0ms	U	@	0	(* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))
1.0ms	J	@	0	(* J (* (* l (* (* K K) (* K K))) 1/192))
1.0ms	l	@	0	(* J (* (* l (* (* K K) (* K K))) 1/192))
1.0ms	l	@	0	(* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))

simplify547.0ms (3.6%)

Memory

36.2MiB live, 901.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 496×	`lower-fma.f64`
18 496×	`lower-fma.f32`
5 904×	`lower-*.f64`
5 904×	`lower-*.f32`
3 882×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	13509
1	1532	13336
2	4902	12577
0	8097	11671

Stop Event

1×	iter limit
1×	node limit

Counts

936 → 886

Calls

Call 1

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

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)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(+ 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 J (.f64 #s(literal -1/8 binary64) (.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 J (.f64 #s(literal -1/8 binary64) (.f64 K K)) J) (fma.f64 (.f64 K K) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K)) (.f64 J (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))) U))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(+ U (* 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 J (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l l))) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (/.f64 (.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (/.f64 (.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (/.f64 (.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 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 U (/.f64 (.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 U (/.f64 (.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 U (/.f64 (.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J #s(literal 1/2 binary64)))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 K K) #s(literal 1/2 binary64)))
(+ (* 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)))))))))
(fma.f64 (.f64 K K) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal 1/768 binary64) (.f64 K K) #s(literal -1/16 binary64))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J #s(literal 1/2 binary64))))
(+ (* 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))))))))))
(fma.f64 (.f64 K K) (.f64 (.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K K))) (fma.f64 #s(literal -1/92160 binary64) (.f64 K K) #s(literal 1/768 binary64))) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 K K) #s(literal 1/2 binary64))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (.f64 J #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
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(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
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(.f64 #s(literal 1/192 binary64) (.f64 l (.f64 (.f64 K K) (*.f64 K K))))
(* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (* 1/192 l)))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 l (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 K K)) #s(literal 1/192 binary64))))
(* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (+ (* 1/192 l) (* 2 (/ l (pow K 4))))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (fma.f64 l (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 K K) (.f64 K K))) (/.f64 #s(literal -1/4 binary64) (.f64 K K))) (*.f64 l #s(literal 1/192 binary64))))
(* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (+ (* 1/192 l) (* 2 (/ l (pow K 4))))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (fma.f64 l (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 K K) (.f64 K K))) (/.f64 #s(literal -1/4 binary64) (.f64 K K))) (*.f64 l #s(literal 1/192 binary64))))
(* 1/192 (* (pow K 4) l))
(.f64 #s(literal 1/192 binary64) (.f64 l (.f64 (.f64 K K) (*.f64 K K))))
(* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (* 1/192 l)))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (.f64 l (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 K K)) #s(literal 1/192 binary64))))
(* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (+ (* 1/192 l) (* 2 (/ l (pow K 4))))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (fma.f64 l (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 K K) (.f64 K K))) (/.f64 #s(literal -1/4 binary64) (.f64 K K))) (*.f64 l #s(literal 1/192 binary64))))
(* (pow K 4) (+ (* -1/4 (/ l (pow K 2))) (+ (* 1/192 l) (* 2 (/ l (pow K 4))))))
(.f64 (.f64 (.f64 K K) (.f64 K K)) (fma.f64 l (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 K K) (.f64 K K))) (/.f64 #s(literal -1/4 binary64) (.f64 K K))) (*.f64 l #s(literal 1/192 binary64))))

rewrite423.0ms (2.8%)

Memory

7.8MiB live, 560.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 260×	`lower-*.f32`
5 224×	`lower-*.f64`
4 562×	`lower-fma.f32`
4 550×	`lower-fma.f64`
3 102×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	649
0	112	618
1	431	580
2	2972	580
0	8280	560

Stop Event

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

Counts

26 → 229

Calls

Call 1

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

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

eval137.0ms (0.9%)

Memory: 24.0MiB live, 292.8MiB allocated
Compiler: Compiled 25 256 to 1 200 computations (95.2% saved)

prune204.0ms (1.3%)

Memory

-2.6MiB live, 361.3MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1 118	11	1 129
Fresh	6	12	18
Picked	2	3	5
Done	1	3	4
Total	1 127	29	1 156

Accuracy

100.0%

Counts

1 156 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.2%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64) U)
✓	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	91.3%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
	60.5%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (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 (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
	63.5%	(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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U)
	80.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	74.7%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
	86.1%	(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
	88.4%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
	62.4%	(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
	80.9%	(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
✓	54.3%	#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)))
	16.4%	#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 8 binary64) (.f64 (.f64 J (.f64 J J)) (.f64 l (.f64 l 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)))))))
	41.0%	#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)) (.f64 (neg.f64 U) U)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U))))
	28.0%	#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))))
✓	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
	30.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
✓	27.9%	#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)))))
	28.5%	#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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
	40.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (fma.f64 (.f64 U J) (/.f64 (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) U) U))))
	11.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 (.f64 (.f64 #s(literal 1/192 binary64) (.f64 K K)) (.f64 J (.f64 K K))) l))))
✓	11.1%	#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
	52.5%	#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 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) #s(approx (/ ( J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U) (.f64 (/.f64 (.f64 J l) U) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))))
	37.1%	#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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))
	57.5%	#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 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) #s(approx (neg (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))) (fma.f64 U (/.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U) U)))))
	59.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))
	54.2%	#s(approx (+ (* (* J (- (exp 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))))))
✓	20.0%	#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))))))
	28.1%	#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)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))

Compiler

Compiled 1 710 to 620 computations (63.7% saved)

regimes210.0ms (1.4%)

Memory

27.5MiB live, 318.0MiB allocated

Counts

56 → 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* 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) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) #s(approx (neg (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 (.f64 (.f64 #s(literal 1/192 binary64) (.f64 K K)) (.f64 J (.f64 K K))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) #s(approx (/ ( J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U) (.f64 (/.f64 (.f64 J l) U) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #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 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (fma.f64 (.f64 U J) (/.f64 (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 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)) (.f64 (neg.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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) 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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (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 (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 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 8 binary64) (.f64 (.f64 J (.f64 J J)) (.f64 l (.f64 l 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)))))))
(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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J 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))
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) 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)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) 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) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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 J (.f64 l l)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(+.f64 (/.f64 (.f64 J (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)
(+.f64 (.f64 (.f64 J (.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)))))))) (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:

43.0ms	K
26.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
21.0ms	J
21.0ms	(/.f64 K #s(literal 2 binary64))
20.0ms	l

Results

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes169.0ms (1.1%)

Memory

-32.3MiB live, 298.2MiB allocated

Counts

52 → 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* 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) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) #s(approx (neg (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 (.f64 (.f64 #s(literal 1/192 binary64) (.f64 K K)) (.f64 J (.f64 K K))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) #s(approx (/ ( J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U) (.f64 (/.f64 (.f64 J l) U) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #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 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (fma.f64 (.f64 U J) (/.f64 (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 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)) (.f64 (neg.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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) 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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (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 (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 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 8 binary64) (.f64 (.f64 J (.f64 J J)) (.f64 l (.f64 l 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)))))))
(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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J 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))
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) 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)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) 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) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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 J (.f64 l l)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)

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

Calls

10 calls:

31.0ms	(/.f64 K #s(literal 2 binary64))
16.0ms	l
16.0ms	J
16.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
16.0ms	U

Results

Accuracy	Segments	Branch
99.9%	1	`J`
99.9%	1	`l`
99.9%	1	`K`
99.9%	1	`U`
99.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
99.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
99.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
99.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
99.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
99.9%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes174.0ms (1.1%)

Memory

26.7MiB live, 263.5MiB 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* 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) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) #s(approx (neg (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 (.f64 (.f64 #s(literal 1/192 binary64) (.f64 K K)) (.f64 J (.f64 K K))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) #s(approx (/ ( J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U) (.f64 (/.f64 (.f64 J l) U) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #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 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (fma.f64 (.f64 U J) (/.f64 (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 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)) (.f64 (neg.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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) 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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (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 (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 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 8 binary64) (.f64 (.f64 J (.f64 J J)) (.f64 l (.f64 l 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)))))))
(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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J 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))
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) 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)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) 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) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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 J (.f64 l l)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Outputs

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

32.0ms	U
28.0ms	l
16.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	J
15.0ms	K

Results

Accuracy	Segments	Branch
92.2%	1	`J`
96.6%	3	`l`
96.7%	2	`K`
92.2%	1	`U`
92.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
96.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
96.7%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes45.0ms (0.3%)

Memory

3.4MiB live, 79.5MiB 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* 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) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) #s(approx (neg (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 (.f64 (.f64 #s(literal 1/192 binary64) (.f64 K K)) (.f64 J (.f64 K K))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) #s(approx (/ ( J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U) (.f64 (/.f64 (.f64 J l) U) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #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 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (fma.f64 (.f64 U J) (/.f64 (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 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)) (.f64 (neg.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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) 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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (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 (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 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 8 binary64) (.f64 (.f64 J (.f64 J J)) (.f64 l (.f64 l 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)))))))
(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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J 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))
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) 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)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) 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) #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

(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)

(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:

15.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms	K

Results

Accuracy	Segments	Branch
95.8%	2	`K`
95.8%	2	`(/.f64 K #s(literal 2 binary64))`
96.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes65.0ms (0.4%)

Memory

-16.6MiB live, 42.2MiB allocated

Counts

42 → 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* 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) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) #s(approx (neg (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 (.f64 (.f64 #s(literal 1/192 binary64) (.f64 K K)) (.f64 J (.f64 K K))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) #s(approx (/ ( J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U) (.f64 (/.f64 (.f64 J l) U) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #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 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (fma.f64 (.f64 U J) (/.f64 (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 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)) (.f64 (neg.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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) 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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (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 (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 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 8 binary64) (.f64 (.f64 J (.f64 J J)) (.f64 l (.f64 l 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)))))))
(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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J 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))
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) 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)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)

Outputs

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

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

Calls

3 calls:

37.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	K

Results

Accuracy	Segments	Branch
95.4%	2	`K`
95.4%	2	`(/.f64 K #s(literal 2 binary64))`
95.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes57.0ms (0.4%)

Memory

-2.2MiB live, 111.2MiB allocated

Counts

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

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

15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	l
12.0ms	K

Results

Accuracy	Segments	Branch
96.7%	5	`l`
93.6%	2	`K`
93.6%	2	`(/.f64 K #s(literal 2 binary64))`
94.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes105.0ms (0.7%)

Memory

9.5MiB live, 208.5MiB allocated

Counts

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

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

9 calls:

14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	U
11.0ms	J
11.0ms	K

Results

Accuracy	Segments	Branch
93.2%	2	`K`
93.2%	2	`(/.f64 K #s(literal 2 binary64))`
86.2%	2	`U`
89.1%	3	`J`
88.6%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
88.6%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
88.5%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
89.8%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
93.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 88 to 69 computations (21.6% saved)

regimes50.0ms (0.3%)

Memory

-19.4MiB live, 95.1MiB allocated

Counts

37 → 4

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
91.7%	4	`l`
82.7%	2	`K`
82.7%	2	`(/.f64 K #s(literal 2 binary64))`
88.3%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes69.0ms (0.5%)

Memory

1.0MiB live, 115.9MiB allocated

Counts

36 → 5

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

Calls

6 calls:

14.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
13.0ms	J
11.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
11.0ms	l
10.0ms	(+.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
87.4%	4	`J`
86.5%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
86.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
86.5%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
86.6%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.1%	5	`l`

Compiler

Compiled 68 to 52 computations (23.5% saved)

regimes13.0ms (0.1%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

34 → 5

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
92.1%	5	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.2%)

Memory

4.9MiB live, 42.5MiB allocated

Counts

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

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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l))) #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:

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

Results

Accuracy	Segments	Branch
86.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
86.0%	3	`l`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes108.0ms (0.7%)

Memory

-32.6MiB live, 165.7MiB allocated

Counts

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

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

Calls

10 calls:

19.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
11.0ms	J
9.0ms	U
9.0ms	l

Results

Accuracy	Segments	Branch
74.7%	1	`K`
74.7%	1	`(/.f64 K #s(literal 2 binary64))`
74.7%	1	`J`
79.8%	3	`l`
78.6%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
79.3%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
78.6%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
79.3%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
74.7%	1	`U`
80.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes9.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
79.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

17.0MiB live, 16.9MiB 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* 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) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) #s(approx (neg (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U)))) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) #s(approx (+ (* J (* l 2)) U) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 (.f64 l (.f64 (.f64 K K) (.f64 K K))) #s(literal 1/192 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 (.f64 (.f64 #s(literal 1/192 binary64) (.f64 K K)) (.f64 J (.f64 K K))) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) #s(approx (/ ( J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U) (.f64 (/.f64 (.f64 J l) U) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #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 (.f64 J (.f64 l #s(literal 2 binary64))) #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (fma.f64 (.f64 U J) (/.f64 (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 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)) (.f64 (neg.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) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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)))) #s(approx (sinh l) (fma.f64 (*.f64 l l) (*.f64 #s(literal 1/6 binary64) l) 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 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
79.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes74.0ms (0.5%)

Memory

-8.4MiB live, 148.8MiB allocated

Counts

23 → 5

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
63.5%	1	`U`
65.6%	2	`J`
69.3%	2	`K`
69.3%	2	`(/.f64 K #s(literal 2 binary64))`
75.6%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
75.6%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
79.6%	5	`l`
75.6%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
75.6%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
73.0%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes11.0ms (0.1%)

Memory

-18.0MiB live, 20.3MiB allocated

Counts

22 → 4

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
77.8%	4	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

21 → 4

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
77.4%	4	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes59.0ms (0.4%)

Memory

-7.1MiB live, 112.1MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
59.4%	1	`U`
59.4%	1	`J`
59.4%	1	`K`
59.4%	1	`(/.f64 K #s(literal 2 binary64))`
62.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
65.0%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
65.0%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
65.1%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
65.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
65.1%	3	`l`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes28.0ms (0.2%)

Memory

7.7MiB live, 46.1MiB allocated

Counts

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

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) (*.f64 (fma.f64 J (/.f64 (*.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U)))))

Calls

6 calls:

5.0ms	l
5.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	(+.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
62.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
63.5%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
63.5%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
63.5%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
62.0%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
65.5%	4	`l`

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes8.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

Calls

2 calls:

4.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	l

Results

Accuracy	Segments	Branch
63.6%	3	`l`
60.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes9.0ms (0.1%)

Memory

-22.9MiB live, 15.5MiB allocated

Counts

7 → 3

Calls

Call 1

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

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)))

#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 (* (cos (* K 1/2)) (* 2 l)) (*.f64 l (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.5%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
63.5%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
63.5%	3	`l`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes13.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.4%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
63.4%	3	`l`
63.4%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
63.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
63.4%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes12.0ms (0.1%)

Memory

-16.6MiB live, 21.9MiB allocated

Counts

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
63.0%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
63.0%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
63.0%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
63.0%	3	`l`
63.0%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes33.0ms (0.2%)

Memory

-15.2MiB live, 52.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))

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

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

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

Calls

10 calls:

15.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	U
2.0ms	J
2.0ms	K
2.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
54.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
54.3%	1	`J`
54.3%	1	`K`
54.3%	1	`(/.f64 K #s(literal 2 binary64))`
54.3%	1	`U`
54.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
54.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
54.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
54.3%	1	`l`
54.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes17.0ms (0.1%)

Memory

-7.8MiB live, 31.2MiB allocated

Counts

2 → 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))

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

Outputs

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

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
45.7%	3	`J`
45.7%	3	`l`
45.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
37.1%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
45.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
37.1%	1	`K`
40.9%	3	`U`
45.6%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
45.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
37.1%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes12.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))

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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
37.1%	1	`K`
37.1%	1	`(/.f64 K #s(literal 2 binary64))`
37.1%	1	`U`
37.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
37.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
37.1%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
37.1%	1	`l`
37.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
37.1%	1	`J`

Compiler

Compiled 85 to 66 computations (22.4% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9980853107545686	0.9990159817879452

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch18.0ms (0.1%)

Memory

-38.6MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9980853107545686	0.9990159817879452

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9980853107545686	0.9990159817879452

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	0.3621039115181571	0.40716522583015224

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	-0.08101191069270182	0.052284731098296316

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch83.0ms (0.5%)

Memory

28.1MiB live, 66.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.5481733939612038e+91	2.9332365385519055e+93
43.0ms	8787510184.31619	3085206602505.641
19.0ms	-55.46262685818367	-0.08177300628212154

Samples

63.0ms

368×

valid

Compiler

Compiled 868 to 609 computations (29.8% saved)

Precisions

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

ival-cos: 8.0ms (30.1% of total)

ival-exp: 6.0ms (22.5% of total)

ival-mult: 5.0ms (18.8% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch67.0ms (0.4%)

Memory

-14.3MiB live, 63.8MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.5481733939612038e+91	2.9332365385519055e+93
1.0ms	8787510184.31619	3085206602505.641
17.0ms	-55.46262685818367	-0.08177300628212154
44.0ms	-3.6233311546781115e+145	-3.622502455104782e+138

Samples

52.0ms

240×

valid

Compiler

Compiled 1 164 to 809 computations (30.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 5.0ms (29% of total)

ival-exp: 4.0ms (23.2% of total)

ival-mult: 3.0ms (17.4% of total)

ival-div: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

ival-sub: 1.0ms (5.8% of total)

ival-neg: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.5481733939612038e+91	2.9332365385519055e+93
1.0ms	8787510184.31619	3085206602505.641
1.0ms	-55.46262685818367	-0.08177300628212154
1.0ms	-3.6233311546781115e+145	-3.622502455104782e+138

Compiler

Compiled 1 164 to 809 computations (30.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08101191069270182	0.052284731098296316

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	-0.1782958315715249	-0.14785972841767345

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	-0.1782958315715249	-0.14785972841767345

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	-0.1782958315715249	-0.14785972841767345

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch64.0ms (0.4%)

Memory

-16.8MiB live, 101.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	2.4971979398228113e+79	1.20261414172866e+81
1.0ms	8787510184.31619	3085206602505.641
23.0ms	-12807206728.646532	-37593.247423508314
17.0ms	-1.8024131237088775e+108	-8.809568301733545e+105

Samples

39.0ms

368×

valid

Compiler

Compiled 1 521 to 908 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-exp: 8.0ms (28.3% of total)

ival-cos: 7.0ms (24.8% of total)

ival-mult: 5.0ms (17.7% of total)

ival-div: 2.0ms (7.1% of total)

ival-add: 2.0ms (7.1% of total)

ival-sub: 2.0ms (7.1% of total)

ival-neg: 2.0ms (7.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory

0.4MiB live, 38.9MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.4971979398228113e+79	1.20261414172866e+81
1.0ms	8787510184.31619	3085206602505.641
21.0ms	-0.0004260605009870475	-2.7764032848530806e-12

Samples

15.0ms

144×

valid

Compiler

Compiled 1 095 to 654 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 3.0ms (27.3% of total)

ival-cos: 3.0ms (27.3% of total)

ival-mult: 2.0ms (18.2% of total)

ival-div: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

ival-sub: 1.0ms (9.1% of total)

ival-neg: 1.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory

4.7MiB live, 79.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	4.282356059635906e+19	2.6467536358497636e+21
18.0ms	-6.90816376632545e+23	-1.7364411860407513e+21
1.0ms	-1.8024131237088775e+108	-8.809568301733545e+105

Samples

24.0ms

240×

valid

Compiler

Compiled 1 075 to 634 computations (41% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 5.0ms (31.1% of total)

ival-exp: 3.0ms (18.7% of total)

ival-mult: 3.0ms (18.7% of total)

ival-div: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Memory

0.6MiB live, 78.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	4.27930185987568e+122	1.3582547690299927e+135
16.0ms	-0.0004260605009870475	-2.7764032848530806e-12

Samples

33.0ms

272×

valid

Compiler

Compiled 778 to 465 computations (40.2% saved)

Precisions

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

ival-cos: 5.0ms (26.4% of total)

ival-exp: 4.0ms (21.1% of total)

ival-mult: 3.0ms (15.8% of total)

ival-div: 2.0ms (10.6% of total)

ival-add: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1782958315715249	-0.14785972841767345

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.27930185987568e+122	1.3582547690299927e+135
1.0ms	-0.0004260605009870475	-2.7764032848530806e-12

Compiler

Compiled 706 to 420 computations (40.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3875030693448533e-159	6.166746392962888e+154
0.0ms	-inf	-4.2464253979582025e+233

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	0.00035649897324741	+inf
0.0ms	-0.0008521210277546709	-5.552891479965183e-12

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00035649897324741	+inf
0.0ms	-0.0008521210277546709	-5.552891479965183e-12

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch73.0ms (0.5%)

Memory

-11.7MiB live, 112.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.967274886288648	54.69897886938661
34.0ms	-1.873561958337705e+213	-1.4770605170955907e+211

Samples

31.0ms	74×	1	valid
20.0ms	150×	0	valid

Compiler

Compiled 372 to 231 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-exp: 18.0ms (47.6% of total)

ival-cos: 9.0ms (23.8% of total)

ival-mult: 4.0ms (10.6% of total)

adjust: 2.0ms (5.3% of total)

ival-sub: 1.0ms (2.6% of total)

ival-div: 1.0ms (2.6% of total)

ival-add: 1.0ms (2.6% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify195.0ms (1.3%)

Memory

19.1MiB live, 93.8MiB allocated

Algorithm

1×	egg-herbie

Rules

998×	`distribute-lft-neg-in_binary64`
568×	`neg-mul-1_binary64`
506×	`unsub-neg_binary64`
494×	`neg-sub0_binary64`
382×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	298	2631
1	378	2631
2	424	2631
3	473	2629
4	540	2629
5	628	2629
6	796	2629
7	1176	2629
8	1639	2629
9	2096	2629
10	2518	2629
11	2812	2629
12	2959	2629
13	3026	2629
14	3037	2629
15	3045	2629
16	3076	2629
17	3104	2629
18	3113	2629
19	3120	2629
20	3123	2629
21	3126	2629

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 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) (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 8998192055486251/9007199254740992 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 J #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) 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 -3602879701896397/72057594037927936 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 l #s(literal -3602879701896397/1125899906842624 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 l #s(literal 9000000000 binary64)) #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)) (if (<=.f64 l #s(literal 2899999999999999836313938133105151053614388120640854371021182324973328658736115201947014791168 binary64)) (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 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -13999999999999999899206413314738153194593994717244721962685216813911984143200853544919907450396162517814842614101952547343731071659153043750912 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal -7349874591868649/72057594037927936 binary64)) (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 l #s(literal 9000000000 binary64)) #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)) (if (<=.f64 l #s(literal 2899999999999999836313938133105151053614388120640854371021182324973328658736115201947014791168 binary64)) (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 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U)))))
(if (<=.f64 l #s(literal -13999999999999999899206413314738153194593994717244721962685216813911984143200853544919907450396162517814842614101952547343731071659153043750912 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal -7349874591868649/72057594037927936 binary64)) (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 l #s(literal 9000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (if (<=.f64 l #s(literal 2899999999999999836313938133105151053614388120640854371021182324973328658736115201947014791168 binary64)) (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 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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 -5404319552844595/36028797018963968 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)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) 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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 #s(literal 1/6 binary64) l) 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 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 l #s(literal -9000000000000000208213198552970089213610379433765930698950393537575937414974065930624372158786439116488704 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal -38000 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) (/.f64 (.f64 J (.f64 l (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) U))))))) (if (<=.f64 l #s(literal 9000000000 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))) (if (<=.f64 l #s(literal 25000000000000000006652466177091819134350600295300202274532994363372439729078272 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)) (.f64 (neg.f64 U) U)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U)))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U)))))
(if (<=.f64 l #s(literal -8500259669165361/2361183241434822606848 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal 9000000000 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))) (if (<=.f64 l #s(literal 25000000000000000006652466177091819134350600295300202274532994363372439729078272 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)) (.f64 (neg.f64 U) U)) (-.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U)))) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -9000000000000000208213198552970089213610379433765930698950393537575937414974065930624372158786439116488704 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal -72000000000000000000000 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)) (fma.f64 (.f64 l (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U)))) (if (<=.f64 l #s(literal 73000000000000000000 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U) 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -1936908127739503/4611686018427387904 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 (.f64 U (-.f64 #s(literal -1 binary64) #s(approx (/ ( J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U) (.f64 (/.f64 (.f64 J l) U) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))))) (if (<=.f64 l #s(literal 37999999999999998272275381253169467003648179512605634675018210420554717538579801346380544817999123705133661444407887682076672 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) (.f64 #s(approx ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 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) (.f64 (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 l #s(literal -8500259669165361/2361183241434822606848 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 l #s(literal 37999999999999998272275381253169467003648179512605634675018210420554717538579801346380544817999123705133661444407887682076672 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (fma.f64 U (/.f64 (.f64 J (.f64 l #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) (.f64 #s(approx ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 7914572847139345/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 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) (.f64 #s(approx ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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 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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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 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))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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)))
(if (<=.f64 J #s(literal -15000000000000000512685833693181800580672427505925786464300315438801015219430250487023229749447155717257320471371925297134019793320702320932427831901871052080248937483698221613779050918564285206613786119710441472 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)))))) (if (<=.f64 J #s(literal 26 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U)))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))

Outputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #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 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 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) (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 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 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) (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 8998192055486251/9007199254740992 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 J #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 J #s(literal 2 binary64))))) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) 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 3602879701896397/9007199254740992 binary64)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) 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 -3602879701896397/72057594037927936 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 -3602879701896397/72057594037927936 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))
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(if (<=.f64 l #s(literal -3602879701896397/1125899906842624 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 l #s(literal 9000000000 binary64)) #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)) (if (<=.f64 l #s(literal 2899999999999999836313938133105151053614388120640854371021182324973328658736115201947014791168 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 l #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -13999999999999999899206413314738153194593994717244721962685216813911984143200853544919907450396162517814842614101952547343731071659153043750912 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal -7349874591868649/72057594037927936 binary64)) (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 l #s(literal 9000000000 binary64)) #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)) (if (<=.f64 l #s(literal 2899999999999999836313938133105151053614388120640854371021182324973328658736115201947014791168 binary64)) (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 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U)))))
(if (<=.f64 l #s(literal -13999999999999999899206413314738153194593994717244721962685216813911984143200853544919907450396162517814842614101952547343731071659153043750912 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal -7349874591868649/72057594037927936 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 l #s(literal 9000000000 binary64)) #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)) (if (<=.f64 l #s(literal 2899999999999999836313938133105151053614388120640854371021182324973328658736115201947014791168 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 l #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)))))
(if (<=.f64 l #s(literal -13999999999999999899206413314738153194593994717244721962685216813911984143200853544919907450396162517814842614101952547343731071659153043750912 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal -7349874591868649/72057594037927936 binary64)) (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 l #s(literal 9000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (if (<=.f64 l #s(literal 2899999999999999836313938133105151053614388120640854371021182324973328658736115201947014791168 binary64)) (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 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 #s(literal 1/6 binary64) l) l))) #s(literal 2 binary64) U)))))
(if (<=.f64 l #s(literal -13999999999999999899206413314738153194593994717244721962685216813911984143200853544919907450396162517814842614101952547343731071659153043750912 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)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal -7349874591868649/72057594037927936 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 l #s(literal 9000000000 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)) (if (<=.f64 l #s(literal 2899999999999999836313938133105151053614388120640854371021182324973328658736115201947014791168 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (*.f64 l #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)))))
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(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 7914572847139345/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 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) (.f64 #s(approx ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))))
(if (<=.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (if (<=.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) #s(literal 7914572847139345/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 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) (.f64 J #s(approx ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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 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 ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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 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 J #s(approx ( (cos (* K 1/2)) (* 2 l)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #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 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))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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)))
(if (<=.f64 J #s(literal -15000000000000000512685833693181800580672427505925786464300315438801015219430250487023229749447155717257320471371925297134019793320702320932427831901871052080248937483698221613779050918564285206613786119710441472 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)))))) (if (<=.f64 J #s(literal 26 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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U)))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.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)) (+ (* (* l (* J (* K K))) (+ (* 1/192 (* K K)) -1/4)) U)) (neg.f64 #s(approx (* U (- -1 (/ (* J (* l (+ (* (* K K) (+ (* (* K K) 1/192) -1/4)) 2))) U))) (neg.f64 U))))))

soundness2.4s (15.6%)

Memory

19.1MiB live, 1 980.3MiB allocated

Rules

18 496×	`lower-fma.f64`
18 496×	`lower-fma.f32`
16 990×	`lower-fma.f64`
16 990×	`lower-fma.f32`
16 524×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	10142
1	1183	10106
2	3693	9532
0	8207	8958
0	57	455
0	100	433
1	373	427
2	2726	427
0	8484	419
0	377	10597
1	1273	10473
2	3944	9816
0	8323	9271
0	58	363
0	86	351
1	298	351
2	2168	351
0	8662	341
0	145	1758
1	453	1758
2	1467	1648
3	3574	1648
0	8162	1568
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37
0	458	13509
1	1532	13336
2	4902	12577
0	8097	11671

Stop Event

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

Compiler

Compiled 3 400 to 1 694 computations (50.2% saved)

preprocess297.0ms (2%)

Memory: 14.6MiB live, 317.8MiB allocated
Remove: (abs K)
Compiler: Compiled 2 812 to 496 computations (82.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated