Metrics for Maksimov and Kolovsky, Equation (4)

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.8s (13.5%)

Memory

32.5MiB live, 3 002.9MiB allocated

Samples

755.0ms	6 429×	0	valid
681.0ms	1 827×	1	valid

Precisions

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

ival-exp: 455.0ms (39.7% of total)

ival-cos: 307.0ms (26.8% of total)

ival-mult: 129.0ms (11.3% of total)

ival-div: 54.0ms (4.7% of total)

ival-sub: 50.0ms (4.4% of total)

ival-add: 50.0ms (4.4% of total)

adjust: 46.0ms (4% of total)

ival-neg: 39.0ms (3.4% of total)

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

exact: 6.0ms (0.5% of total)

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

Bogosity

preprocess123.0ms (0.9%)

Memory

-14.2MiB live, 104.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs K)

explain248.0ms (1.9%)

Memory

32.5MiB live, 388.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
118	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	113	(-1.132187573836248e+168 5.6111000552547174e-185 6.32919162966309e+79 1.4178767318333012e-184)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
0	0	-	-	`J`
0	0	-	-	`U`
0	1	(9.898615169773174e-19 142.56962217089966 9.029150521432173e+206 -6.509754726970064e-182)	-	`(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	113
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	40
`exp.f64`	`(exp.f64 (neg.f64 l))`	sensitivity	1

Confusion

	Predicted +	Predicted -
+	38	0
-	95	123

Precision

0.2857142857142857

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	95	0	123

Precision?

0.2857142857142857

Recall?

1.0

Freqs

test

number	freq
0	123
1	112
2	21

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	168×	1	valid
34.0ms	284×	0	valid
32.0ms	60×	2	valid

Compiler

Compiled 164 to 60 computations (63.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-exp: 47.0ms (50.3% of total)

ival-cos: 14.0ms (15% of total)

ival-mult: 9.0ms (9.6% of total)

adjust: 6.0ms (6.4% of total)

ival-sub: 4.0ms (4.3% of total)

ival-div: 4.0ms (4.3% of total)

ival-add: 4.0ms (4.3% of total)

ival-neg: 3.0ms (3.2% of total)

ival-true: 1.0ms (1.1% 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.2%	(+.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)

simplify78.0ms (0.6%)

Memory

-10.1MiB live, 66.5MiB 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

localize82.0ms (0.6%)

Memory

29.1MiB live, 138.6MiB 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 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	accuracy	99.9%	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	57.0%	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

29.0ms	84×	1	valid
22.0ms	142×	0	valid
15.0ms	30×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-exp: 23.0ms (48.6% of total)

ival-cos: 9.0ms (19% of total)

ival-mult: 5.0ms (10.6% of total)

adjust: 3.0ms (6.3% of total)

ival-sub: 2.0ms (4.2% of total)

ival-div: 2.0ms (4.2% of total)

ival-add: 2.0ms (4.2% of total)

ival-neg: 1.0ms (2.1% 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

-16.7MiB live, 27.1MiB allocated

Counts

5 → 132

Calls

Call 1

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

Outputs
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<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)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<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))))))))))>
#<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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<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))))))))>
#<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))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))>
#<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)))))))))>
#<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))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	J	@	inf	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	l	@	-inf	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	K	@	0	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
1.0ms	l	@	inf	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	J	@	0	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)

simplify376.0ms (2.8%)

Memory

6.9MiB live, 595.6MiB 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))

rewrite257.0ms (1.9%)

Memory

-9.3MiB live, 320.5MiB 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)
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(*.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)))
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(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))

eval45.0ms (0.3%)

Memory: 12.1MiB live, 90.8MiB allocated
Compiler: Compiled 11 329 to 1 133 computations (90% saved)

prune64.0ms (0.5%)

Memory

2.9MiB live, 121.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

100.0%

Counts

393 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 #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)
▶	96.1%	(+.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)
▶	93.8%	(+.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)
	88.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	95.4%	(+.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)
	90.5%	(+.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)
▶	84.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)
▶	63.0%	#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))
	84.5%	#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))
	73.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Compiler

Compiled 508 to 324 computations (36.2% saved)

simplify408.0ms (3.1%)

Memory

-38.1MiB live, 398.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

10 064×	`lower-fma.f32`
10 048×	`lower-fma.f64`
4 396×	`lower-*.f32`
4 364×	`lower-*.f64`
1 938×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	550
0	94	550
1	203	550
2	491	550
3	1137	528
4	1926	528
5	3182	528
0	8799	525

Stop Event

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

Calls

Call 1

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

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

localize581.0ms (4.4%)

Memory

-14.5MiB live, 383.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓	accuracy	99.9%	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.9%	(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	accuracy	94.8%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.9%	(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.9%	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
✓	accuracy	91.8%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.8%	(.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))))
✓	accuracy	99.8%	(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
✓	accuracy	91.3%	(.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
✓	accuracy	83.1%	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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))))))
✓	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	63.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))

Samples

156.0ms	30×	2	valid
151.0ms	84×	1	valid
58.0ms	142×	0	valid

Compiler

Compiled 396 to 51 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-mult: 80.0ms (28% of total)

const: 64.0ms (22.4% of total)

adjust: 53.0ms (18.5% of total)

ival-cos: 47.0ms (16.4% of total)

ival-exp: 22.0ms (7.7% of total)

ival-add: 14.0ms (4.9% of total)

ival-sub: 2.0ms (0.7% of total)

ival-div: 2.0ms (0.7% of total)

ival-sinh: 2.0ms (0.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.6%)

Memory

1.2MiB live, 77.9MiB allocated

Counts

27 → 708

Calls

Call 1

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

Outputs
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<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)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))>
#<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))))))))))>
#<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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))>
#<alt (* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))>
#<alt (* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))>
#<alt (- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))>
#<alt (- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt l>
#<alt (* l (+ 1 (* 1/6 (pow l 2))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
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#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (* 1/60 (pow l 2))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* 1/60 (pow l 2))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* 1/60 (pow l 4))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* 1/60 (pow l 4))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>

Calls

177 calls:

Time	Variable		Point	Expression
27.0ms	l	@	0	(* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2))))
6.0ms	J	@	0	(* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2))))
4.0ms	K	@	-inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
2.0ms	l	@	inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
2.0ms	l	@	-inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)

simplify751.0ms (5.6%)

Memory

12.5MiB live, 607.1MiB allocated

Algorithm

1×	egg-herbie

Rules

15 996×	`lower-fma.f64`
15 996×	`lower-fma.f32`
7 832×	`lower-*.f64`
7 832×	`lower-*.f32`
5 412×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	367	10059
1	1244	9778
2	4087	9225
0	8360	8733

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 683

Calls

Call 1

Inputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 2 (* l (cos (* 1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
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))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 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)))))
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(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))

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

rewrite529.0ms (4%)

Memory

-11.8MiB live, 792.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 560×	`lower-fma.f32`
6 544×	`lower-fma.f64`
4 746×	`lower-*.f32`
4 714×	`lower-*.f64`
3 294×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	428
0	94	405
1	371	405
2	2433	405
0	8920	403

Stop Event

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

Counts

27 → 514

Calls

Call 1

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

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

eval204.0ms (1.5%)

Memory: 46.1MiB live, 467.5MiB allocated
Compiler: Compiled 36 883 to 2 837 computations (92.3% saved)

prune146.0ms (1.1%)

Memory

-15.5MiB live, 389.7MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1 223	19	1 242
Fresh	5	1	6
Picked	4	1	5
Done	0	0	0
Total	1 232	21	1 253

Accuracy

100.0%

Counts

1 253 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
	71.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
	80.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	93.9%	(fma.f64 (.f64 (.f64 #s(literal 2 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))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	93.9%	(fma.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
▶	63.0%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
▶	96.1%	(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 (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
▶	57.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))) U)
	59.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))) U)
	69.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l #s(approx ( (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) U)
	69.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)))) U)
	62.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (*.f64 K K)) J)))) U)
	84.5%	#s(approx (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (fma.f64 (.f64 J l) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	63.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
	44.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
▶	44.3%	#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))
	84.5%	#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))
	47.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	67.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) U)))
▶	51.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
	31.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 870 to 560 computations (35.6% saved)

simplify254.0ms (1.9%)

Memory

-1.8MiB live, 477.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 2 binary64) l)
✓	cost-diff	#s(approx (* 2 (sinh l)) (*.f64 #s(literal 2 binary64) l))
✓	cost-diff	(.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
✓	cost-diff	(.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))
✓	cost-diff	(.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))
✓	cost-diff	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))))
✓	cost-diff	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))) U)
✓	cost-diff	(fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))
✓	cost-diff	#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
✓	cost-diff	(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
✓	cost-diff	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
✓	cost-diff	(*.f64 J l)
✓	cost-diff	(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
✓	cost-diff	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))
✓	cost-diff	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
✓	cost-diff	(*.f64 K #s(literal 1/2 binary64))
✓	cost-diff	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	(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 (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)

Rules

6 546×	`lower-fma.f32`
6 526×	`lower-fma.f64`
3 220×	`lower-*.f32`
3 188×	`lower-*.f64`
2 936×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	598
0	102	598
1	207	598
2	492	598
3	1072	586
4	1869	586
5	2338	586
6	3370	586
7	5222	586
8	7814	586
0	8189	582

Stop Event

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

Calls

Call 1

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

localize364.0ms (2.7%)

Memory

-13.1MiB live, 547.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	49.0%	#s(approx (* 2 (sinh l)) (*.f64 #s(literal 2 binary64) l))
✓	accuracy	99.8%	(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
✓	accuracy	91.3%	(.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
✓	accuracy	83.1%	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))))
✓	accuracy	56.2%	#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
✓	accuracy	99.9%	(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
✓	accuracy	99.9%	(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
✓	accuracy	63.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
✓	accuracy	56.2%	#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 J l)
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
✓	accuracy	81.4%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))
✓	accuracy	63.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
✓	accuracy	99.9%	(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	94.8%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))

Samples

109.0ms	84×	1	valid
84.0ms	142×	0	valid
60.0ms	30×	2	valid

Compiler

Compiled 410 to 64 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 194.0ms

ival-mult: 70.0ms (36% of total)

ival-exp: 24.0ms (12.3% of total)

ival-add: 22.0ms (11.3% of total)

ival-sinh: 22.0ms (11.3% of total)

ival-cos: 20.0ms (10.3% of total)

const: 18.0ms (9.3% of total)

adjust: 14.0ms (7.2% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

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

series24.0ms (0.2%)

Memory

0.9MiB live, 39.0MiB allocated

Counts

26 → 708

Calls

Call 1

Inputs
#<alt (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 (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)>
#<alt (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))>
#<alt (cos.f64 (*.f64 K #s(literal 1/2 binary64)))>
#<alt (*.f64 K #s(literal 1/2 binary64))>
#<alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))>
#<alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)>
#<alt (*.f64 J l)>
#<alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))>
#<alt (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)>
#<alt #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))>
#<alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))) U)>
#<alt #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))))>
#<alt (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))>
#<alt (.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 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))>
#<alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)>
#<alt (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))>
#<alt #s(approx (* 2 (sinh l)) (*.f64 #s(literal 2 binary64) l))>
#<alt (*.f64 #s(literal 2 binary64) l)>
#<alt #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))>
#<alt (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))>
#<alt (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))>
#<alt (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))>
#<alt (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))>

Outputs
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<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))))))))))>
#<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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<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)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<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)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<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))))))))))>
#<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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))>
#<alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))>
#<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))))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (* 2 (* J l))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* 2 (* J l))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* 2 (* J l))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* 2 (* J l))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<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)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<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))))))))))>
#<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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
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#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))>
#<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))))))))))>
#<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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))>
#<alt (* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))>
#<alt (* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))>
#<alt (- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))>
#<alt (- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (- (exp l) (/ 1 (exp l)))>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (* 1/3 l)>
#<alt (* l (+ 1/3 (* 1/60 (pow l 2))))>
#<alt (* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))>
#<alt (* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))>
#<alt (* 1/2520 (pow l 5))>
#<alt (* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/2520 (pow l 5))>
#<alt (* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt -1/8>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (* 1/384 (pow K 2))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 2))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* 2 J)>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>

Calls

177 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(+ (* 2 (* J l)) U)
0.0ms	K	@	inf	(+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1)
0.0ms	J	@	0	(+ (* 2 (* J l)) U)
0.0ms	J	@	inf	(+ (* 2 (* J l)) U)
0.0ms	l	@	inf	(* 2 l)

simplify433.0ms (3.2%)

Memory

22.6MiB live, 655.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 430×	`lower-fma.f64`
15 430×	`lower-fma.f32`
7 600×	`lower-*.f64`
7 600×	`lower-*.f32`
5 160×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	9391
1	1268	9142
2	4101	8671
0	8150	8156

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 675

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 (* 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))))))
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))))))
(* 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)))
(* 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))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 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
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(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* 2 (* J (cos (* 1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* 1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 2 (* l (cos (* 1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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)))
(* 1/3 l)
(* l (+ 1/3 (* 1/60 (pow l 2))))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* 1/2520 (pow l 5))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 5))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
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)))))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(- (* 1/384 (pow K 2)) 1/8)
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))

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

rewrite365.0ms (2.7%)

Memory

21.5MiB live, 546.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 334×	`lower-*.f32`
6 302×	`lower-*.f64`
3 732×	`lower-/.f64`
3 732×	`lower-/.f32`
3 636×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	438
0	102	426
1	383	426
2	2661	426
0	8358	422

Stop Event

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

Counts

26 → 409

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 U))))
(fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 U U))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 U U)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (neg.f64 U))))
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(/.f64 (neg.f64 (.f64 J (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (.f64 J (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64)) J)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64)) J)) (neg.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) J)
(+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))
(+.f64 (.f64 l (.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (*.f64 l #s(literal 1/3 binary64)) l #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (.f64 l l) #s(literal 2/3 binary64))) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (.f64 l l) #s(literal 2/3 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (.f64 l l) #s(literal 2/3 binary64))) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64))) (neg.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)))) (-.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64)) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8/27 binary64)))) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) #s(literal 8 binary64)) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))) #s(literal 4 binary64)))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)))) #s(literal 16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l))))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (.f64 l l) #s(literal 2/3 binary64))) (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 4 binary64)) (.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal -2 binary64))))

eval193.0ms (1.4%)

Memory: -3.2MiB live, 414.0MiB allocated
Compiler: Compiled 38 216 to 2 300 computations (94% saved)

prune158.0ms (1.2%)

Memory

15.6MiB live, 252.4MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 211	19	1 230
Fresh	6	9	15
Picked	2	3	5
Done	0	1	1
Total	1 219	32	1 251

Accuracy

100.0%

Counts

1 251 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
	80.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	93.9%	(fma.f64 (.f64 (.f64 #s(literal 2 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))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	93.9%	(fma.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
✓	63.0%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	44.8%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (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)))) J U)
	47.0%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
✓	96.1%	(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 (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
▶	96.0%	(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 (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
	88.9%	(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)
	63.0%	(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (*.f64 l #s(literal 2 binary64))) U)
	65.4%	(fma.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 (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
	68.5%	(fma.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 (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
▶	78.3%	(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
	59.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(approx (+ ( (* K K) 1/384) -1/8) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))) U)
	69.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l #s(approx ( (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) U)
	69.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)))) U)
	62.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (*.f64 K K)) J)))) U)
	84.5%	#s(approx (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (fma.f64 (.f64 J l) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	32.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	51.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J U)))
	47.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	67.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) U)))
✓	51.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
▶	17.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))))
	34.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 (neg.f64 U) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
	34.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))))
	31.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 l (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	54.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U))))
	57.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
▶	21.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
	51.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))

Compiler

Compiled 1 363 to 826 computations (39.4% saved)

simplify298.0ms (2.2%)

Memory

-6.1MiB live, 358.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 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) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))))
✓	cost-diff	128	(-.f64 U (.f64 J (.f64 l #s(literal 2 binary64))))
✓	cost-diff	320	(fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64))))))
✓	cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
✓	cost-diff	0	#s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U))
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U)))
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U))))
✓	cost-diff	1024	(fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U)
✓	cost-diff	0	(.f64 l (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #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 (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
✓	cost-diff	0	(*.f64 K #s(literal 1/2 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	(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 (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)

Rules

5 790×	`lower-fma.f32`
5 770×	`lower-fma.f64`
4 074×	`lower-*.f32`
4 028×	`lower-*.f64`
3 608×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	830
0	131	797
1	262	797
2	593	797
3	1313	790
4	2070	784
5	3222	784
6	4556	784
7	7782	784
0	8245	751

Stop Event

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

Calls

Call 1

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

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

localize381.0ms (2.9%)

Memory

26.9MiB live, 639.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	81.4%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64))))))))
✓	accuracy	75.9%	(.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))
✓	accuracy	63.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))))
✓	accuracy	38.3%	(/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
✓	accuracy	99.8%	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
✓	accuracy	99.7%	(.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	94.8%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	accuracy	59.6%	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
✓	accuracy	94.7%	(fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U)
✓	accuracy	92.0%	(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
✓	accuracy	81.4%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U)))
✓	accuracy	63.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U))))
✓	accuracy	100.0%	(*.f64 J #s(literal 2 binary64))
✓	accuracy	81.4%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64)))))
✓	accuracy	63.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
✓	accuracy	52.5%	#s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64)))
✓	accuracy	94.8%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	accuracy	54.9%	#s(approx (+ (* l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))

Samples

122.0ms	142×	0	valid
94.0ms	84×	1	valid
46.0ms	30×	2	valid

Compiler

Compiled 539 to 67 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 68.0ms (37.8% of total)

ival-cos: 29.0ms (16.1% of total)

ival-exp: 25.0ms (13.9% of total)

ival-add: 21.0ms (11.7% of total)

adjust: 13.0ms (7.2% of total)

const: 12.0ms (6.7% of total)

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

ival-sub: 4.0ms (2.2% of total)

exact: 1.0ms (0.6% of total)

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

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

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

series42.0ms (0.3%)

Memory

9.9MiB live, 86.0MiB allocated

Counts

28 → 840

Calls

Call 1

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

Outputs
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<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))))))))))>
#<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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<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)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<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)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
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#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (- (+ (* -4 (/ (* (pow J 2) (pow l 2)) U)) (* 4 (/ (* (pow J 2) (pow l 2)) U))) (* -2 (* J l))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) U)) (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2))))) U)) (* -2 (* J l))) U)) 1)))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (- (* -1 (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))>
#<alt (+ U (* l (- (* l (- (* -2 (/ (* J (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) U)) (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* l (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J))) (pow l 2))) (* 2 J)) (* -1 (/ U l))))>
#<alt (* l (- (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J (pow l 3)))) (* 2 J)) (+ (* -1 (/ U l)) (+ (* -1/2 (/ (pow U 2) (* J (pow l 2)))) (* 1/2 (/ (pow U 2) (* J (pow l 2))))))))>
#<alt (* 2 (* J l))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) l)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J l))) (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) l)) (* -1 U)) l)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* J (- (* -1 (* J (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) (* -2 l))))>
#<alt (+ U (* J (- (* J (- (* -2 (/ (* J (* l (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) U)) (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) (* -2 l))))>
#<alt (* 2 (* J l))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* J (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l))) (pow J 2))) (* 2 l)) (* -1 (/ U J))))>
#<alt (* J (- (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) (* (pow J 3) l))) (* 2 l)) (+ (* -1 (/ U J)) (+ (* -1/2 (/ (pow U 2) (* (pow J 2) l))) (* 1/2 (/ (pow U 2) (* (pow J 2) l)))))))>
#<alt (* 2 (* J l))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) J)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) (* J l))) (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) J)) (* -1 U)) J)))))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>

Calls

210 calls:

Time	Variable		Expression
6.0ms	K	@	(* J (cos (* K 1/2)))
4.0ms	l	@	(* (* l (* l l)) (* 8 (* J (* J J))))
2.0ms	U	@	(/ (+ (* U (* U U)) (* (* l (* l l)) (* 8 (* J (* J J))))) (+ (* 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2))))))
1.0ms	J	@	(* (* l (* l l)) (* 8 (* J (* J J))))
1.0ms	J	@	(/ (* l (* J 2)) U)

simplify351.0ms (2.6%)

Memory

-2.4MiB live, 564.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 894×	`lower-fma.f64`
7 894×	`lower-fma.f32`
5 132×	`lower-*.f64`
5 132×	`lower-*.f32`
1 710×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	471	9446
1	1562	9430
2	5503	9108
0	8284	8506

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 786

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 (* 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))))))
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))))))
(* 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)))
(* 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))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* 2 (* 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))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
U
(+ U (* 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)))))))
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(* 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)))
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)))))
(* 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)))
(* 1/3 l)
(* l (+ 1/3 (* 1/60 (pow l 2))))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* 1/2520 (pow l 5))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 5))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 2 (/ (* J l) U))
(* 1/3 l)
(* l (+ 1/3 (* 1/60 (pow l 2))))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* 1/2520 (pow l 5))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 5))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (- (+ 1 (* -1 (/ (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))) (pow U 2)))) (* -2 (/ (* J l) U))))
(* U (- (+ 1 (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) (pow U 3)))) (+ (* -4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) (+ (* -2 (/ (* J l) U)) (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2)))))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (- (+ (* -4 (/ (* (pow J 2) (pow l 2)) U)) (* 4 (/ (* (pow J 2) (pow l 2)) U))) (* -2 (* J l))) U)) 1)))
(* -1 (* U (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) U)) (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2))))) U)) (* -2 (* J l))) U)) 1)))
U
(+ U (* 2 (* J l)))
(+ U (* l (- (* -1 (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))
(+ U (* l (- (* l (- (* -2 (/ (* J (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) U)) (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J))) (pow l 2))) (* 2 J)) (* -1 (/ U l))))
(* l (- (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J (pow l 3)))) (* 2 J)) (+ (* -1 (/ U l)) (+ (* -1/2 (/ (pow U 2) (* J (pow l 2)))) (* 1/2 (/ (pow U 2) (* J (pow l 2))))))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J l))) (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) l)) (* -1 U)) l)))))
U
(+ U (* 2 (* J l)))
(+ U (* J (- (* -1 (* J (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) (* -2 l))))
(+ U (* J (- (* J (- (* -2 (/ (* J (* l (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) U)) (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) (* -2 l))))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l))) (pow J 2))) (* 2 l)) (* -1 (/ U J))))
(* J (- (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) (* (pow J 3) l))) (* 2 l)) (+ (* -1 (/ U J)) (+ (* -1/2 (/ (pow U 2) (* (pow J 2) l))) (* 1/2 (/ (pow U 2) (* (pow J 2) l)))))))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) (* J l))) (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) J)) (* -1 U)) J)))))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))
(* 8 (* (pow J 3) (pow l 3)))

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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) (exp (neg 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) (exp (neg l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J) U)
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(fma.f64 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 K (.f64 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)))))))))))
(+.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J) U) (.f64 (.f64 K K) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (.f64 K K))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (neg l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 l (.f64 J #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 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 l (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l l))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (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) (exp (neg 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) (exp (neg 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) (exp (neg 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) (exp (* -1 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) (exp (* -1 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) (exp (* -1 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) (exp (* -1 l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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) (exp (neg 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) (exp (neg l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 U (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) U)
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
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(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (pow.f64 l #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (*.f64 l l)))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (pow.f64 l #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (*.f64 l l)))))
(* 1/2520 (pow l 5))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (pow.f64 l #s(literal 5 binary64)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 l l))) (*.f64 l l))) (neg.f64 (pow.f64 l #s(literal 5 binary64))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 l l))) (*.f64 l l))) (neg.f64 (pow.f64 l #s(literal 5 binary64))))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 2 (/ (* J l) U))
(/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* l (+ 1/3 (* 1/60 (pow l 2))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(* 1/2520 (pow l 5))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (pow.f64 l #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (*.f64 l l)))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (pow.f64 l #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (*.f64 l l)))))
(* 1/2520 (pow l 5))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (pow.f64 l #s(literal 5 binary64)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 l l))) (*.f64 l l))) (neg.f64 (pow.f64 l #s(literal 5 binary64))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(.f64 (-.f64 #s(literal -1/2520 binary64) (/.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 l l))) (*.f64 l l))) (neg.f64 (pow.f64 l #s(literal 5 binary64))))
(* 2 (* J l))
(.f64 l (.f64 J #s(literal 2 binary64)))
(+ U (* 2 (* J l)))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(+ U (* 2 (* J l)))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(+ U (* 2 (* J l)))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(fma.f64 (/.f64 (.f64 J l) U) (.f64 U #s(literal 2 binary64)) U)
(* U (- (+ 1 (* -1 (/ (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))) (pow U 2)))) (* -2 (/ (* J l) U))))
(fma.f64 (/.f64 (.f64 J l) U) (.f64 U #s(literal 2 binary64)) U)
(* U (- (+ 1 (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) (pow U 3)))) (+ (* -4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) (+ (* -2 (/ (* J l) U)) (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2)))))))
(fma.f64 (/.f64 (.f64 J l) U) (.f64 U #s(literal 2 binary64)) U)
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(fma.f64 (/.f64 (.f64 J l) U) (.f64 U #s(literal 2 binary64)) U)
(* -1 (* U (- (* -1 (/ (- (+ (* -4 (/ (* (pow J 2) (pow l 2)) U)) (* 4 (/ (* (pow J 2) (pow l 2)) U))) (* -2 (* J l))) U)) 1)))
(fma.f64 (/.f64 (.f64 J l) U) (.f64 U #s(literal 2 binary64)) U)
(* -1 (* U (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) U)) (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2))))) U)) (* -2 (* J l))) U)) 1)))
(fma.f64 (/.f64 (.f64 J l) U) (.f64 U #s(literal 2 binary64)) U)
U
(+ U (* 2 (* J l)))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(+ U (* l (- (* -1 (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(+ U (* l (- (* l (- (* -2 (/ (* J (* l (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) U)) (+ (* -4 (/ (pow J 2) U)) (* 4 (/ (pow J 2) U))))) (* -2 J))))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(* 2 (* J l))
(.f64 l (.f64 J #s(literal 2 binary64)))
(* l (+ (* 2 J) (/ U l)))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* l (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J))) (pow l 2))) (* 2 J)) (* -1 (/ U l))))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* l (- (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J (pow l 3)))) (* 2 J)) (+ (* -1 (/ U l)) (+ (* -1/2 (/ (pow U 2) (* J (pow l 2)))) (* 1/2 (/ (pow U 2) (* J (pow l 2))))))))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* 2 (* J l))
(.f64 l (.f64 J #s(literal 2 binary64)))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* -1 (* l (+ (* -2 J) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) l)))))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* -1 (* l (+ (* -2 J) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) (* J l))) (+ (* -1/2 (/ (pow U 2) J)) (* 1/2 (/ (pow U 2) J)))) l)) (* -1 U)) l)))))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
U
(+ U (* 2 (* J l)))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(+ U (* J (- (* -1 (* J (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) (* -2 l))))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(+ U (* J (- (* J (- (* -2 (/ (* J (* l (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) U)) (+ (* -4 (/ (pow l 2) U)) (* 4 (/ (pow l 2) U))))) (* -2 l))))
(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
(* 2 (* J l))
(.f64 l (.f64 J #s(literal 2 binary64)))
(* J (+ (* 2 l) (/ U J)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* J (- (+ (* -1 (/ (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l))) (pow J 2))) (* 2 l)) (* -1 (/ U J))))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* J (- (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) (* (pow J 3) l))) (* 2 l)) (+ (* -1 (/ U J)) (+ (* -1/2 (/ (pow U 2) (* (pow J 2) l))) (* 1/2 (/ (pow U 2) (* (pow J 2) l)))))))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* 2 (* J l))
(.f64 l (.f64 J #s(literal 2 binary64)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ (- (+ (* -1/2 (/ (pow U 2) (* J l))) (* 1/2 (/ (pow U 2) (* J l)))) (* -1 U)) J)))))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* U (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) (* J l))) (+ (* -1/2 (/ (pow U 2) l)) (* 1/2 (/ (pow U 2) l)))) J)) (* -1 U)) J)))))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))
(* 8 (* (pow J 3) (pow l 3)))
(.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)))

rewrite434.0ms (3.2%)

Memory

-37.7MiB live, 630.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 298×	`lower-fma.f32`
5 278×	`lower-fma.f64`
4 832×	`lower-*.f32`
4 786×	`lower-*.f64`
3 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	594
0	131	530
1	466	530
2	3181	478
0	8631	454

Stop Event

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

Counts

28 → 466

Calls

Call 1

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

eval166.0ms (1.2%)

Memory: 12.4MiB live, 324.4MiB allocated
Compiler: Compiled 37 928 to 1 884 computations (95% saved)

prune143.0ms (1.1%)

Memory

-11.6MiB live, 307.3MiB allocated

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1 279	17	1 296
Fresh	6	17	23
Picked	3	2	5
Done	0	4	4
Total	1 288	40	1 328

Accuracy

100.0%

Counts

1 328 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
	80.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	93.9%	(fma.f64 (.f64 (.f64 #s(literal 2 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))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	93.9%	(fma.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
✓	63.0%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	44.8%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (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)))) J U)
	47.0%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
✓	96.1%	(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 (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
✓	96.0%	(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 (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
	88.9%	(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)
	63.0%	(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (*.f64 l #s(literal 2 binary64))) U)
	65.4%	(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
	68.5%	(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
	78.3%	(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
	76.8%	(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
	78.3%	(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
	73.1%	(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 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)
	59.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(approx (+ ( (* K K) 1/384) -1/8) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))) U)
	69.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l #s(approx ( (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) U)
	69.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)))) U)
	62.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (*.f64 K K)) J)))) U)
	84.5%	#s(approx (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (fma.f64 (.f64 J l) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
	51.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J U)))
	47.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	67.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) U)))
✓	51.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
	20.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 l (.f64 (.f64 l l) #s(literal 8 binary64))) (.f64 J J)) J)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))))
	7.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) #s(approx (+ ( 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2))))) (.f64 l (.f64 l (.f64 J (.f64 J #s(literal 4 binary64)))))))))
	13.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) #s(approx (+ ( 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2))))) (.f64 U (fma.f64 U (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (/.f64 (.f64 (.f64 J (.f64 J (.f64 l l))) #s(literal -4 binary64)) U)) (neg.f64 U)) U))))))
	30.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) #s(approx (+ ( 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2))))) (*.f64 U U)))))
	37.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (fma.f64 (.f64 J l) #s(literal -2 binary64) U)) (fma.f64 (.f64 J l) #s(literal -2 binary64) U))))
	34.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))))
	24.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (fma.f64 (.f64 J l) #s(literal -2 binary64) U))) (/.f64 (fma.f64 (.f64 J l) #s(literal -2 binary64) U) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))))))
	31.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 l (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	51.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* U (* U U)) (* (* l (* l l)) (* 8 (* J (* J J))))) (+ (* 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2)))))) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
	54.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 (.f64 U (.f64 #s(literal 2 binary64) (*.f64 J l))) (/.f64 #s(literal 1 binary64) U) U))))
	53.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 (.f64 U l) (/.f64 (.f64 J #s(literal 2 binary64)) U) U))))
	50.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 l (.f64 (/.f64 (.f64 J #s(literal 2 binary64)) U) U) U))))
	57.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (/.f64 l U)) U))))
✓	21.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))

Compiler

Compiled 2 313 to 812 computations (64.9% saved)

regimes226.0ms (1.7%)

Memory

6.1MiB live, 237.5MiB allocated

Counts

67 → 1

Calls

Call 1

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

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

Calls

10 calls:

37.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
34.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
25.0ms	l
22.0ms	K
21.0ms	J

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)

regimes244.0ms (1.8%)

Memory

3.4MiB live, 287.2MiB allocated

Counts

64 → 2

Calls

Call 1

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

Calls

10 calls:

36.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
30.0ms	J
29.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
28.0ms	K
26.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.1%	1	`J`
96.1%	1	`l`
98.0%	2	`K`
96.1%	1	`U`
96.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
96.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
96.1%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
96.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
98.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
98.0%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes67.0ms (0.5%)

Memory

18.6MiB live, 96.2MiB allocated

Counts

59 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

25.0ms	(/.f64 K #s(literal 2 binary64))
23.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms	K

Results

Accuracy	Segments	Branch
97.9%	2	`K`
97.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.9%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes282.0ms (2.1%)

Memory

-30.0MiB live, 205.4MiB allocated

Counts

58 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

48.0ms	U
45.0ms	J
37.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
24.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
16.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
93.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
93.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
93.9%	1	`J`
93.9%	1	`l`
93.9%	1	`U`
93.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
97.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.2%	2	`K`
97.2%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes63.0ms (0.5%)

Memory

33.0MiB live, 109.1MiB allocated

Counts

56 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

28.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
17.0ms	K
15.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
97.2%	2	`K`
97.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.2%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes54.0ms (0.4%)

Memory

-14.5MiB live, 78.7MiB allocated

Counts

55 → 2

Calls

Call 1

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

Calls

3 calls:

21.0ms	(/.f64 K #s(literal 2 binary64))
16.0ms	K
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.3%	2	`K`
96.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
96.3%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes153.0ms (1.1%)

Memory

21.3MiB live, 328.2MiB 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 J #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 #s(literal 2 binary64) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* U (* U U)) (* (* l (* l l)) (* 8 (* J (* J J))))) (+ (* 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2)))))) (*.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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l #s(approx ( (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (/.f64 l U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 l (.f64 (/.f64 (.f64 J #s(literal 2 binary64)) U) 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 (+ (* 2 (* J l)) U) (fma.f64 (.f64 U l) (/.f64 (.f64 J #s(literal 2 binary64)) U) U))))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 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 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 (.f64 U (.f64 #s(literal 2 binary64) (*.f64 J l))) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (*.f64 K K)) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(approx (+ ( (* K K) 1/384) -1/8) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))) U)
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (fma.f64 (.f64 J l) #s(literal -2 binary64) U)) (fma.f64 (.f64 J l) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.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) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 (neg.f64 U) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) #s(approx (+ ( 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2))))) (*.f64 U U)))))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
(fma.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 (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
(fma.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 (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) 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 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) #s(approx (+ ( 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2))))) (.f64 l (.f64 l (.f64 J (.f64 J #s(literal 4 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 (.f64 l (.f64 (.f64 l l) #s(literal 8 binary64))) (.f64 J J)) J)) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 U (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (fma.f64 (.f64 J l) #s(literal -2 binary64) U))) (/.f64 (fma.f64 (.f64 J l) #s(literal -2 binary64) U) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) #s(approx (+ ( 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2))))) (.f64 U (fma.f64 U (/.f64 (fma.f64 J (.f64 l #s(literal 2 binary64)) (/.f64 (.f64 (.f64 J (.f64 J (.f64 l l))) #s(literal -4 binary64)) U)) (neg.f64 U)) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) (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 l (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (*.f64 l #s(literal 2 binary64))) U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (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))
#s(approx (+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U) (fma.f64 (.f64 J l) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))

Outputs

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

#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))

Calls

10 calls:

20.0ms	l
17.0ms	U
16.0ms	K
16.0ms	J
16.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
90.8%	3	`J`
88.9%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
96.3%	5	`l`
84.5%	1	`U`
87.3%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
87.3%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
88.4%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
94.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
94.5%	2	`K`
94.5%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes68.0ms (0.5%)

Memory

-6.5MiB live, 111.6MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

19.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	K
14.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	l

Results

Accuracy	Segments	Branch
90.8%	4	`l`
91.5%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
86.6%	2	`K`
86.6%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes43.0ms (0.3%)

Memory

1.3MiB live, 40.3MiB allocated

Counts

47 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

40.0ms

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

Results

Accuracy	Segments	Branch
91.5%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes49.0ms (0.4%)

Memory

-41.3MiB live, 103.2MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

19.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
14.0ms	J
13.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
80.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
84.9%	3	`J`
87.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes124.0ms (0.9%)

Memory

26.7MiB live, 222.9MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

29.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
23.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
14.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	U
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
78.3%	1	`U`
78.3%	1	`K`
78.3%	1	`(/.f64 K #s(literal 2 binary64))`
78.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
78.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
80.3%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
78.3%	1	`l`
85.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 78 to 61 computations (21.8% saved)

regimes12.0ms (0.1%)

Memory

-5.1MiB live, 34.0MiB 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 J #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 #s(literal 2 binary64) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* U (* U U)) (* (* l (* l l)) (* 8 (* J (* J J))))) (+ (* 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2)))))) (*.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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l #s(approx ( (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (/.f64 l U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 l (.f64 (/.f64 (.f64 J #s(literal 2 binary64)) U) 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 (+ (* 2 (* J l)) U) (fma.f64 (.f64 U l) (/.f64 (.f64 J #s(literal 2 binary64)) U) U))))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 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 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 (.f64 U (.f64 #s(literal 2 binary64) (*.f64 J l))) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (*.f64 K K)) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(approx (+ ( (* K K) 1/384) -1/8) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))) U)
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (fma.f64 (.f64 J l) #s(literal -2 binary64) U)) (fma.f64 (.f64 J l) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (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)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.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 (fma.f64 #s(literal 1/3 binary64) (.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) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 (neg.f64 U) U)) (-.f64 (.f64 J (.f64 l #s(literal 2 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)) (.f64 (neg.f64 U) U)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 U (.f64 U U) (.f64 (.f64 l (.f64 l l)) (.f64 #s(literal 8 binary64) (.f64 J (.f64 J J))))) #s(approx (+ ( 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2))))) (*.f64 U U)))))

Outputs

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
84.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes10.0ms (0.1%)

Memory

-10.8MiB live, 28.1MiB 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 (+ (* 2 (* J l)) U) (.f64 l (.f64 J #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 #s(literal 2 binary64) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* U (* U U)) (* (* l (* l l)) (* 8 (* J (* J J))))) (+ (* 4 (* (* J l) (* J l))) (* U (- U (* J (* l 2)))))) (*.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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l #s(approx ( (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2))) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (/.f64 l U)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 l (.f64 (/.f64 (.f64 J #s(literal 2 binary64)) U) 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 (+ (* 2 (* J l)) U) (fma.f64 (.f64 U l) (/.f64 (.f64 J #s(literal 2 binary64)) U) U))))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 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 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (fma.f64 J (.f64 (/.f64 l U) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 (.f64 U (.f64 #s(literal 2 binary64) (*.f64 J l))) (/.f64 #s(literal 1 binary64) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* K (* K (+ (* (* K K) 1/384) -1/8))) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (*.f64 K K)) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 l (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(approx (+ ( (* K K) 1/384) -1/8) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))))) U)
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 J l) U) (fma.f64 (.f64 J l) #s(literal -2 binary64) U)) (fma.f64 (.f64 J l) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
84.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes17.0ms (0.1%)

Memory

0.6MiB live, 41.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	J

Results

Accuracy	Segments	Branch
76.8%	1	`J`
82.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes13.0ms (0.1%)

Memory

-0.0MiB live, 36.3MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
82.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes47.0ms (0.4%)

Memory

19.7MiB live, 140.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

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

Calls

8 calls:

8.0ms	U
6.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	l
6.0ms	K
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
73.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.1%	1	`K`
73.1%	1	`U`
73.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
73.1%	1	`(/.f64 K #s(literal 2 binary64))`
73.1%	1	`l`
73.1%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
78.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 78 to 61 computations (21.8% saved)

regimes14.0ms (0.1%)

Memory

2.6MiB live, 41.1MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	J
3.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
73.1%	1	`J`
73.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
78.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes5.0ms (0%)

Memory

-24.1MiB live, 15.7MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
75.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes30.0ms (0.2%)

Memory

-9.7MiB live, 75.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

Calls

10 calls:

6.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
3.0ms	K
3.0ms	U
3.0ms	l

Results

Accuracy	Segments	Branch
51.8%	1	`K`
51.8%	1	`(/.f64 K #s(literal 2 binary64))`
51.8%	1	`J`
57.8%	3	`l`
57.5%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
57.5%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
57.5%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
51.8%	1	`U`
57.4%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
57.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes14.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Calls

6 calls:

2.0ms	l
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.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
53.7%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
53.7%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
53.6%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
53.7%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
53.7%	2	`l`
51.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes12.0ms (0.1%)

Memory

-3.6MiB live, 36.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

6 calls:

3.0ms	l
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.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
51.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
51.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
51.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
51.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
51.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
51.8%	1	`l`

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes18.0ms (0.1%)

Memory

-27.7MiB live, 50.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`J`
51.8%	1	`K`
51.8%	1	`(/.f64 K #s(literal 2 binary64))`
51.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
51.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
51.8%	1	`l`
51.8%	1	`U`
51.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
51.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
51.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes13.0ms (0.1%)

Memory

33.9MiB live, 33.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
21.2%	1	`J`
21.2%	1	`K`
21.2%	1	`(/.f64 K #s(literal 2 binary64))`
21.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
21.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
21.2%	1	`l`
21.2%	1	`U`
21.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
21.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
21.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.211756746597873e-105	9.907856640644274e-105

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch12.0ms (0.1%)

Memory

-39.6MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.211756746597873e-105	9.907856640644274e-105

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.211756746597873e-105	9.907856640644274e-105

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.211756746597873e-105	9.907856640644274e-105

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2639406324103.7354	19840979822219412.0

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2639406324103.7354	19840979822219412.0

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117
0.0ms	-0.9918203547925776	-0.9904659933954624

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117
0.0ms	-0.9918203547925776	-0.9904659933954624

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117

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	-0.05512495911715811	0.04431314382380117

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.05512495911715811	0.04431314382380117

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	-0.05512495911715811	0.04431314382380117

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	-0.05512495911715811	0.04431314382380117

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch5.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	-3.059523805233823e+67	-5.993813363336911e+66

Samples

3.0ms

32×

valid

Compiler

Compiled 80 to 55 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (44.5% of total)

ival-cos: 1.0ms (44.5% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify29.0ms (0.2%)

Memory

-4.8MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	1513
1	235	1513

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 (.f64 #s(literal 2 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))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5000000000000 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5000000000000 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8926134461448323/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8926134461448323/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 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))
(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) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 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))
(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) #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))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)))) 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) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))))))
(if (<=.f64 l #s(literal -19999999999999999654735515678371196634479565751161864557154294300672 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 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 l #s(literal 2 binary64)) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))

Outputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 (.f64 #s(literal 2 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))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) l)))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5164499756173817/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5000000000000 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (fma.f64 (.f64 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))
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(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5000000000000 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 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)))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5000000000000 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8926134461448323/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8926134461448323/9007199254740992 binary64)) (+.f64 U #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J))))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l))) J U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8926134461448323/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8926134461448323/9007199254740992 binary64)) (+.f64 U #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J))))) (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 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (.f64 #s(literal 2 binary64) l)) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 U #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J))))) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J)))) U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( l (* l 1/2520)) 1/60) (.f64 (.f64 l l) #s(literal 1/2520 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 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))
(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) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 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))
(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) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 l J) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 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))
(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) #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))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)))) 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) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 l J) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (+.f64 U #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* l (* (cos (* 1/2 K)) (* J (+ (* 1/3 (* l l)) 2)))) (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l J))))))
(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) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))))))
(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) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 l J) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))))))
(if (<=.f64 l #s(literal -19999999999999999654735515678371196634479565751161864557154294300672 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 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 l #s(literal 2 binary64)) J U))))
(if (<=.f64 l #s(literal -19999999999999999654735515678371196634479565751161864557154294300672 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 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 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 l #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 l (.f64 #s(literal 2 binary64) J)))))

soundness2.2s (16.2%)

Memory

-196.5MiB live, 1 757.0MiB allocated

Rules

16 158×	`lower-fma.f64`
16 158×	`lower-fma.f32`
15 996×	`lower-fma.f64`
15 996×	`lower-fma.f32`
15 430×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	9391
1	1268	9142
2	4101	8671
0	8150	8156
0	54	428
0	94	405
1	371	405
2	2433	405
0	8920	403
0	64	438
0	102	426
1	383	426
2	2661	426
0	8358	422
0	471	9446
1	1562	9430
2	5503	9108
0	8284	8506
0	145	1758
1	453	1758
2	1467	1648
3	3574	1648
0	8162	1568
0	367	10059
1	1244	9778
2	4087	9225
0	8360	8733
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37

Stop Event

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

Compiler

Compiled 2 803 to 1 421 computations (49.3% saved)

preprocess149.0ms (1.1%)

Memory: 17.8MiB live, 318.1MiB allocated
Remove: (abs K)
Compiler: Compiled 1 864 to 380 computations (79.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated