Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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)

sample1.7s (14.3%)

Memory

19.4MiB live, 2 817.2MiB allocated

Samples

704.0ms	6 413×	0	valid
676.0ms	1 843×	1	valid

Precisions

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

ival-exp: 438.0ms (40% of total)

ival-cos: 280.0ms (25.6% of total)

ival-mult: 123.0ms (11.2% of total)

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

ival-add: 53.0ms (4.8% of total)

ival-sub: 49.0ms (4.5% of total)

adjust: 48.0ms (4.4% of total)

ival-neg: 35.0ms (3.2% of total)

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

exact: 5.0ms (0.5% of total)

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

Bogosity

explain248.0ms (2%)

Memory

18.1MiB live, 368.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
134	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	135	(7.510202883400429e-257 4.032890105705952e+72 6.678502998340145e+155 -1.6124931484159913e+285)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
0	0	-	-	`J`
0	0	-	-	`U`
0	0	-	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`l`
0	0	-	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	135	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	38	0

Confusion

	Predicted +	Predicted -
+	33	0
-	121	102

Precision

0.21428571428571427

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	0
-	121	0	102

Precision?

0.21428571428571427

Recall?

1.0

Freqs

test

number	freq
0	102
1	135
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	202×	1	valid
34.0ms	248×	0	valid
31.0ms	62×	2	valid

Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-exp: 47.0ms (47.3% of total)

ival-cos: 22.0ms (22.1% of total)

ival-mult: 9.0ms (9.1% of total)

adjust: 7.0ms (7% of total)

ival-sub: 4.0ms (4% of total)

ival-add: 4.0ms (4% of total)

ival-div: 3.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess110.0ms (0.9%)

Memory

-14.8MiB live, 103.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs K)

Compiler

Compiled 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify77.0ms (0.6%)

Memory

2.1MiB live, 89.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (0.8%)

Memory

-5.1MiB live, 107.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 l)
accuracy	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.0703125	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	31.23441581359926	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

32.0ms	101×	1	valid
20.0ms	31×	2	valid
17.0ms	124×	0	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-exp: 32.0ms (58.4% of total)

ival-cos: 8.0ms (14.6% of total)

ival-mult: 5.0ms (9.1% of total)

adjust: 4.0ms (7.3% of total)

ival-sub: 2.0ms (3.7% of total)

ival-add: 2.0ms (3.7% of total)

ival-div: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

6 → 144

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)))>
#<alt (exp.f64 l)>

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))>
#<alt 1>
#<alt (+ 1 l)>
#<alt (+ 1 (* l (+ 1 (* 1/2 l))))>
#<alt (+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>

Calls

36 calls:

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

simplify271.0ms (2.2%)

Memory

5.3MiB live, 241.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 630×	`lower-fma.f64`
11 630×	`lower-fma.f32`
5 072×	`lower-*.f64`
5 072×	`lower-*.f32`
3 760×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1800
1	491	1800
2	1543	1690
3	3703	1690
0	8065	1605

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 140

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))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)

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

rewrite265.0ms (2.2%)

Memory

-0.7MiB live, 153.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	23	40
1	72	40
2	433	40
0	4485	39

Stop Event

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

Counts

6 → 270

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)))
(exp.f64 l)

Outputs
(+.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(+.f64 U (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 U (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 J (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (/.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) J) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (pow.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
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(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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(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(exp.f64 l)
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(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 l)))
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eval130.0ms (1.1%)

Memory: 13.1MiB live, 87.2MiB allocated
Compiler: Compiled 11 636 to 1 183 computations (89.8% saved)

prune79.0ms (0.6%)

Memory

-28.1MiB live, 90.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	399	11	410
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	400	11	411

Accuracy

100.0%

Counts

411 → 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)
	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
	52.7%	(+.f64 (.f64 (.f64 J (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	93.6%	(+.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)
	95.5%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	90.1%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	93.7%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	90.7%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	67.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
	88.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
	75.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Compiler

Compiled 586 to 348 computations (40.6% saved)

simplify376.0ms (3.1%)

Memory

3.5MiB live, 278.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

16 204×	`lower-fma.f32`
16 188×	`lower-fma.f64`
4 372×	`lower-*.f32`
4 334×	`lower-*.f64`
2 542×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	583
0	100	583
1	210	583
2	498	572
3	1241	540
4	2707	540
5	5046	540
0	8325	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 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))
J
#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))
(.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
l
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 l l)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
(.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))
l
(fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 J #s(literal 2 binary64)))
(.f64 l (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(*.f64 l l)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))
l
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (.f64 J #s(literal 2 binary64)))
(*.f64 l l)
(fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64)))
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
(*.f64 J #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U

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

localize573.0ms (4.7%)

Memory

-29.5MiB live, 415.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(*.f64 J #s(literal 1/3 binary64))
accuracy	0.49518732012261263	(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	4.246266393341891	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))))
accuracy	5.064611906139306	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
accuracy	0.14453125	(.f64 l (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
accuracy	0.5024976142354534	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy	5.192993529475175	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
accuracy	6.161169626123854	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
accuracy	0.046875	(.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
accuracy	0.0703125	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.2955718560332603	(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy	9.26691622448316	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.0546875	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
accuracy	21.020820738886336	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.015625	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
accuracy	0.0859375	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))

Samples

194.0ms	101×	1	valid
99.0ms	124×	0	valid
57.0ms	31×	2	valid

Compiler

Compiled 429 to 54 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 272.0ms

ival-mult: 89.0ms (32.7% of total)

adjust: 74.0ms (27.2% of total)

ival-cos: 37.0ms (13.6% of total)

ival-add: 30.0ms (11% of total)

ival-exp: 24.0ms (8.8% of total)

const: 12.0ms (4.4% 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 (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.6%)

Memory

21.0MiB live, 98.1MiB allocated

Counts

30 → 768

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

Calls

192 calls:

Time	Variable		Point	Expression
13.0ms	J	@	inf	(* J (+ (* (* l l) 1/2520) 1/60))
7.0ms	J	@	0	(+ (* (* l l) (+ (* (* l l) (* J (+ (* (* l l) 1/2520) 1/60))) (* J 1/3))) (* J 2))
3.0ms	K	@	-inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
3.0ms	l	@	-inf	(* (* 2 (sinh l)) (cos (* K 1/2)))
2.0ms	l	@	inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)

simplify378.0ms (3.1%)

Memory

16.0MiB live, 527.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 986×	`lower-fma.f64`
15 986×	`lower-fma.f32`
6 592×	`lower-*.f64`
6 592×	`lower-*.f32`
4 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	10401
1	1245	10111
2	3718	9596
0	8147	9009

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 743

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

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

rewrite330.0ms (2.7%)

Memory

-17.8MiB live, 541.1MiB allocated

Rules

6 572×	`lower-fma.f32`
6 556×	`lower-fma.f64`
4 692×	`lower-*.f32`
4 654×	`lower-*.f64`
2 924×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	462
0	100	439
1	379	439
2	2556	439
0	8209	436

Stop Event

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

Counts

30 → 565

Calls

Call 1

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

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

eval216.0ms (1.8%)

Memory: 41.1MiB live, 537.2MiB allocated
Compiler: Compiled 41 870 to 3 114 computations (92.6% saved)

prune216.0ms (1.8%)

Memory

-56.7MiB live, 372.1MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	1 295	13	1 308
Fresh	6	0	6
Picked	5	0	5
Done	0	0	0
Total	1 306	13	1 319

Accuracy

100.0%

Counts

1 319 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
▶	81.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	67.1%	(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)
	55.7%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l))) (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal 2 binary64) l) (.f64 #s(literal 2 binary64) l))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l))) (.f64 #s(literal 2 binary64) l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	67.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
	46.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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))
	45.2%	#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 J (.f64 l #s(literal 2 binary64))) U))
	51.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	71.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 U (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U)) U)))
	36.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
▶	40.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
▶	57.6%	#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)))
▶	27.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 588 to 338 computations (42.5% saved)

simplify200.0ms (1.6%)

Memory

23.6MiB live, 384.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 594×	`lower-fma.f32`
6 580×	`lower-fma.f64`
4 800×	`lower-*.f32`
4 780×	`lower-*.f64`
1 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	415
0	79	415
1	153	415
2	369	409
3	1070	403
4	2355	403
5	4361	403
6	7846	403
0	8225	388

Stop Event

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

Calls

Call 1

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

localize239.0ms (2%)

Memory

20.4MiB live, 369.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.015625	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
accuracy	0.0859375	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
accuracy	32.92702488535701	#s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.12109375	(.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	21.020820738886336	#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	33.99918630996987	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	5.345406630351459	(fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64))) U)
accuracy	8.050862326195455	(.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)))
accuracy	21.020820738886336	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
accuracy	27.78802836755805	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U)))
accuracy	0	(*.f64 J l)
accuracy	0.00390625	(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
accuracy	12.262855305860858	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))
accuracy	21.020820738886336	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.015625	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
accuracy	0.0859375	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
accuracy	30.719899580357136	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))

Samples

96.0ms	206×	0	valid
71.0ms	50×	1	valid

Compiler

Compiled 284 to 49 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-add: 36.0ms (32.3% of total)

ival-mult: 29.0ms (26% of total)

ival-cos: 20.0ms (17.9% of total)

ival-exp: 12.0ms (10.8% of total)

adjust: 4.0ms (3.6% of total)

const: 4.0ms (3.6% of total)

ival-sinh: 2.0ms (1.8% of total)

ival-sub: 1.0ms (0.9% of total)

ival-div: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series61.0ms (0.5%)

Memory

-8.8MiB live, 64.4MiB allocated

Counts

22 → 744

Calls

Call 1

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

186 calls:

Time	Variable		Point	Expression
29.0ms	K	@	0	(+ (* (cos (* 1/2 K)) (* J (* l 2))) U)
1.0ms	J	@	0	(+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U))
1.0ms	l	@	0	(+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U))
1.0ms	K	@	inf	(+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U))
1.0ms	J	@	0	(* (* J l) (+ (* 1/192 (* K K)) -1/4))

simplify344.0ms (2.8%)

Memory

12.6MiB live, 484.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 582×	`lower-fma.f64`
16 582×	`lower-fma.f32`
6 636×	`lower-*.f64`
6 636×	`lower-*.f32`
4 736×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	361	10206
1	1185	9954
2	3538	9535
0	8194	8881

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 698

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

rewrite350.0ms (2.9%)

Memory

12.9MiB live, 569.7MiB allocated

Rules

7 276×	`lower-fma.f32`
7 262×	`lower-fma.f64`
4 544×	`lower-*.f32`
4 524×	`lower-*.f64`
3 844×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	354
0	79	348
1	278	348
2	1986	348
0	8444	339

Stop Event

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

Counts

22 → 417

Calls

Call 1

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

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

eval203.0ms (1.7%)

Memory: 24.2MiB live, 363.1MiB allocated
Compiler: Compiled 32 403 to 1 781 computations (94.5% saved)

prune135.0ms (1.1%)

Memory

-32.9MiB live, 242.9MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 234	21	1 255
Fresh	4	4	8
Picked	2	3	5
Done	0	0	0
Total	1 240	28	1 268

Accuracy

100.0%

Counts

1 268 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	75.4%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	77.3%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
▶	75.4%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
▶	77.3%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	63.2%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
▶	73.5%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	67.1%	(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)
	51.1%	(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)
	55.7%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l))) (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal 2 binary64) l) (.f64 #s(literal 2 binary64) l))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l))) (.f64 #s(literal 2 binary64) l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	51.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	37.0%	#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 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
	71.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 U (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U)) U)))
✓	57.6%	#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)))
▶	19.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
	36.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
	57.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
	36.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 l J)) U)))))
	27.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
	27.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
✓	27.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	12.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
	24.1%	#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)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
	60.5%	#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 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
	51.0%	#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 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
▶	18.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 J l)))))
	63.2%	#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) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
	25.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))

Compiler

Compiled 1 180 to 676 computations (42.7% saved)

simplify262.0ms (2.2%)

Memory

-27.9MiB live, 280.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

9 210×	`lower-fma.f32`
9 188×	`lower-fma.f64`
4 690×	`lower-*.f32`
4 646×	`lower-*.f64`
1 490×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	726
0	126	694
1	262	694
2	547	694
3	1153	686
4	2088	682
5	2976	682
6	4362	682
7	6540	682
0	8065	660

Stop Event

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

Calls

Call 1

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

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

localize316.0ms (2.6%)

Memory

28.4MiB live, 522.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	12.262855305860858	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J))))))
accuracy	18.24581722953908	(fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (*.f64 U U)))
accuracy	21.020820738886336	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
accuracy	41.186607694793516	(/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))
accuracy	0.0859375	(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
accuracy	0.5024976142354534	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy	5.201496429445999	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	30.719899580357165	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
accuracy	0.0859375	(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))
accuracy	0.32421875	(*.f64 l #s(literal 1/3 binary64))
accuracy	9.26691622448316	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	30.719899580357165	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
accuracy	0.02734375	(.f64 #s(literal 2 binary64) (.f64 J l))
accuracy	12.262855305860858	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 J l))))
accuracy	21.020820738886336	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 J l)))))
accuracy	34.01632686505391	#s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 J l)))
accuracy	0.10546875	(.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))
accuracy	0.1953125	(.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
accuracy	3.998882944747362	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
accuracy	30.719899580357165	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))

Samples

143.0ms	206×	0	valid
61.0ms	50×	1	valid

Compiler

Compiled 474 to 75 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 75.0ms (48.5% of total)

ival-cos: 26.0ms (16.8% of total)

ival-exp: 14.0ms (9% of total)

ival-add: 14.0ms (9% of total)

const: 10.0ms (6.5% of total)

adjust: 5.0ms (3.2% of total)

ival-sub: 3.0ms (1.9% of total)

ival-div: 3.0ms (1.9% of total)

ival-sinh: 2.0ms (1.3% 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)

series32.0ms (0.3%)

Memory

37.3MiB live, 75.1MiB allocated

Counts

27 → 744

Calls

Call 1

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

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 (* 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 (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))>
#<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))))))>
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#<alt (pow U 2)>
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#<alt (+ (* J (+ (* -2 (* U l)) (* 4 (* J (pow l 2))))) (pow U 2))>
#<alt (+ (* J (+ (* -2 (* U l)) (* 4 (* J (pow l 2))))) (pow U 2))>
#<alt (* 4 (* (pow J 2) (pow l 2)))>
#<alt (* (pow J 2) (+ (* -2 (/ (* U l) J)) (* 4 (pow l 2))))>
#<alt (* (pow J 2) (+ (* -2 (/ (* U l) J)) (+ (* 4 (pow l 2)) (/ (pow U 2) (pow J 2)))))>
#<alt (* (pow J 2) (+ (* -2 (/ (* U l) J)) (+ (* 4 (pow l 2)) (/ (pow U 2) (pow J 2)))))>
#<alt (* 4 (* (pow J 2) (pow l 2)))>
#<alt (* (pow J 2) (+ (* -2 (/ (* U l) J)) (* 4 (pow l 2))))>
#<alt (* (pow J 2) (+ (* -1 (/ (+ (* -1 (/ (pow U 2) J)) (* 2 (* U l))) J)) (* 4 (pow l 2))))>
#<alt (* (pow J 2) (+ (* -1 (/ (+ (* -1 (/ (pow U 2) J)) (* 2 (* U l))) J)) (* 4 (pow l 2))))>
#<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 U>
#<alt (+ U (* -2 (* J l)))>
#<alt (+ U (* -2 (* J l)))>
#<alt (+ U (* -2 (* J l)))>
#<alt (* -2 (* J l))>
#<alt (* l (- (/ U l) (* 2 J)))>
#<alt (* l (- (/ U l) (* 2 J)))>
#<alt (* l (- (/ U l) (* 2 J)))>
#<alt (* -2 (* J l))>
#<alt (* -1 (* l (- (* -1 (/ U l)) (* -2 J))))>
#<alt (* -1 (* l (- (* -1 (/ U l)) (* -2 J))))>
#<alt (* -1 (* l (- (* -1 (/ U l)) (* -2 J))))>
#<alt U>
#<alt (+ U (* -2 (* J l)))>
#<alt (+ U (* -2 (* J l)))>
#<alt (+ U (* -2 (* J l)))>
#<alt (* -2 (* J l))>
#<alt (* J (- (/ U J) (* 2 l)))>
#<alt (* J (- (/ U J) (* 2 l)))>
#<alt (* J (- (/ U J) (* 2 l)))>
#<alt (* -2 (* J l))>
#<alt (* -1 (* J (- (* -1 (/ U J)) (* -2 l))))>
#<alt (* -1 (* J (- (* -1 (/ U J)) (* -2 l))))>
#<alt (* -1 (* J (- (* -1 (/ U J)) (* -2 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))))))>
#<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 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 (* 1/3 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 l)>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* 1/2520 (pow l 3))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 3))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<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 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 (* 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 (* -1 (/ (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))) (pow U 2)))) (* -2 (/ (* J l) U))))>
#<alt (* 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)))))))>
#<alt U>
#<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 (pow U 3)>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))>
#<alt (* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))>
#<alt (* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))>
#<alt (* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))>
#<alt (* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))>
#<alt (pow U 3)>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))>
#<alt (* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))>
#<alt (* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))>
#<alt (* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))>
#<alt (* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))>
#<alt (* 8 (* (pow J 3) (pow l 3)))>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))>
#<alt (pow U 3)>
#<alt (* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))>
#<alt (* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))>
#<alt (* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))>
#<alt (pow U 3)>
#<alt (* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))>
#<alt (* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))>
#<alt (* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))>

Calls

186 calls:

Time	Variable		Point	Expression
3.0ms	U	@	0	(/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))
1.0ms	l	@	0	(+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U)))
1.0ms	l	@	inf	(/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))
1.0ms	J	@	inf	(/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))
1.0ms	U	@	inf	(/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))))

simplify232.0ms (1.9%)

Memory

-13.9MiB live, 394.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 874×	`lower-fma.f64`
6 874×	`lower-fma.f32`
5 376×	`lower-*.f64`
5 376×	`lower-*.f32`
2 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	597	9608
1	2021	9472
2	6860	9394
0	8132	8852

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 704

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)))))))))
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(* -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)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (- (+ 1 (* -1 (/ (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))) (pow U 2)))) (* -2 (/ (* J l) U))))
(* U (- (+ 1 (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) (pow U 3)))) (+ (* -4 (/ (* (pow J 2) (pow l 2)) (pow U 2))) (+ (* -2 (/ (* J l) U)) (* 4 (/ (* (pow J 2) (pow l 2)) (pow U 2)))))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (- (+ (* -4 (/ (* (pow J 2) (pow l 2)) U)) (* 4 (/ (* (pow J 2) (pow l 2)) U))) (* -2 (* J l))) U)) 1)))
(* -1 (* U (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (* J (* l (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2)))))) U)) (+ (* -4 (* (pow J 2) (pow l 2))) (* 4 (* (pow J 2) (pow l 2))))) U)) (* -2 (* J l))) U)) 1)))
(pow U 3)
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(* 8 (* (pow J 3) (pow l 3)))
(* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))
(* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))
(* (pow l 3) (+ (* 8 (pow J 3)) (/ (pow U 3) (pow l 3))))
(* 8 (* (pow J 3) (pow l 3)))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(* -1 (* (pow l 3) (+ (* -8 (pow J 3)) (* -1 (/ (pow U 3) (pow l 3))))))
(pow U 3)
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(* 8 (* (pow J 3) (pow l 3)))
(* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))
(* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))
(* (pow J 3) (+ (* 8 (pow l 3)) (/ (pow U 3) (pow J 3))))
(* 8 (* (pow J 3) (pow l 3)))
(* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))
(* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))
(* -1 (* (pow J 3) (+ (* -8 (pow l 3)) (* -1 (/ (pow U 3) (pow J 3))))))
(* 8 (* (pow J 3) (pow l 3)))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(+ (* 8 (* (pow J 3) (pow l 3))) (pow U 3))
(pow U 3)
(* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))
(* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))
(* (pow U 3) (+ 1 (* 8 (/ (* (pow J 3) (pow l 3)) (pow U 3)))))
(pow U 3)
(* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))
(* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))
(* -1 (* (pow U 3) (- (* -8 (/ (* (pow J 3) (pow l 3)) (pow U 3))) 1)))

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

rewrite644.0ms (5.3%)

Memory

-162.2MiB live, 553.3MiB allocated

Rules

5 522×	`lower-fma.f32`
5 500×	`lower-fma.f64`
4 996×	`lower-*.f32`
4 952×	`lower-*.f64`
3 920×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	570
0	126	512
1	463	467
2	3237	467
0	8747	452

Stop Event

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

Counts

27 → 518

Calls

Call 1

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

Outputs
(+.f64 U (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)))) (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) J)))
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eval179.0ms (1.5%)

Memory: -9.4MiB live, 378.5MiB allocated
Compiler: Compiled 44 217 to 2 369 computations (94.6% saved)

prune157.0ms (1.3%)

Memory

-32.8MiB live, 322.0MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 235	13	1 248
Fresh	5	15	20
Picked	2	3	5
Done	0	3	3
Total	1 242	34	1 276

Accuracy

100.0%

Counts

1 276 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	75.4%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	77.3%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
✓	75.4%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	75.2%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	50.7%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	77.2%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	63.2%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
✓	73.5%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
	67.1%	(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)
	51.1%	(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)
	67.5%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
	75.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) (neg.f64 U) U)))
	51.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	37.0%	#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 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
	71.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 U (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U)) U)))
✓	57.6%	#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)))
	31.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
	37.8%	#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 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) 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 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
	57.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
	36.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 l J)) U)))))
	27.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
	27.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
✓	27.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 l (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	60.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) U))))
	32.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
	51.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
	12.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
	24.1%	#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)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
	18.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
✓	18.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 J l)))))
	63.2%	#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) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
	25.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))

Compiler

Compiled 1 942 to 732 computations (62.3% saved)

regimes193.0ms (1.6%)

Memory

10.7MiB live, 206.7MiB allocated

Counts

59 → 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
#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 (+ (* (* 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) (neg.f64 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)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l))) (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal 2 binary64) l) (.f64 #s(literal 2 binary64) l))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l))) (.f64 #s(literal 2 binary64) l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 J (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

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

Calls

10 calls:

41.0ms	U
29.0ms	J
17.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms	(/.f64 K #s(literal 2 binary64))
16.0ms	K

Results

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes187.0ms (1.5%)

Memory

-10.4MiB live, 269.9MiB 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
#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 (+ (* (* 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) (neg.f64 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)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l))) (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l)))) (.f64 (.f64 #s(literal 2 binary64) l) (.f64 #s(literal 2 binary64) l))) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l l))) (.f64 #s(literal 2 binary64) l))))) (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)

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

Calls

10 calls:

33.0ms	(/.f64 K #s(literal 2 binary64))
20.0ms	K
18.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
18.0ms	l
15.0ms	U

Results

Accuracy	Segments	Branch
95.5%	1	`J`
95.5%	1	`l`
98.1%	2	`K`
95.5%	1	`U`
95.5%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
95.5%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
95.5%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
95.5%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
98.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
98.1%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes75.0ms (0.6%)

Memory

24.4MiB live, 62.6MiB 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
#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 (+ (* (* 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) (neg.f64 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)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

Calls

3 calls:

44.0ms	K
14.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
97.3%	2	`K`
97.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.3%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes182.0ms (1.5%)

Memory

26.1MiB live, 253.4MiB allocated

Counts

49 → 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
#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 (+ (* (* 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) (neg.f64 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)

(+.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)

Calls

10 calls:

41.0ms	K
24.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
21.0ms	l
15.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	(+.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
90.1%	1	`J`
98.0%	5	`l`
92.3%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.3%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.5%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
90.1%	1	`U`
90.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
95.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.8%	2	`K`
95.8%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes88.0ms (0.7%)

Memory

-11.0MiB live, 65.2MiB allocated

Counts

48 → 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
#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 (+ (* (* 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) (neg.f64 U) U)))

Outputs

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

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

Calls

3 calls:

45.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
26.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	K

Results

Accuracy	Segments	Branch
95.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
94.3%	2	`K`
94.3%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes187.0ms (1.5%)

Memory

-2.7MiB live, 191.1MiB allocated

Counts

45 → 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)

Outputs

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

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

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

Calls

10 calls:

35.0ms	U
27.0ms	K
26.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
22.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
81.0%	1	`U`
88.3%	3	`J`
90.0%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
92.0%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.2%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
90.8%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
90.0%	3	`l`
86.3%	3	`K`
86.3%	3	`(/.f64 K #s(literal 2 binary64))`
88.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes40.0ms (0.3%)

Memory

27.5MiB live, 64.3MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)

Outputs

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

3 calls:

17.0ms

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

10.0ms

(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

10.0ms

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

Results

Accuracy	Segments	Branch
87.1%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
90.5%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
90.6%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 48 to 36 computations (25% saved)

regimes30.0ms (0.2%)

Memory

-38.4MiB live, 15.8MiB allocated

Counts

42 → 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))

Outputs

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

27.0ms

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

Results

Accuracy	Segments	Branch
90.6%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes103.0ms (0.8%)

Memory

21.1MiB live, 126.4MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#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 #s(literal 2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64))))

Outputs

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

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

Calls

6 calls:

30.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
20.0ms	J
19.0ms	l
11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Results

Accuracy	Segments	Branch
86.2%	3	`J`
86.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
81.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
82.6%	2	`l`
84.6%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
84.6%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 64 to 50 computations (21.9% saved)

regimes195.0ms (1.6%)

Memory

-1.6MiB live, 208.5MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (.f64 (.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) J (fma.f64 (.f64 l J) (.f64 (fma.f64 K (.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) (*.f64 K K)) U))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 l J) U) (fma.f64 (.f64 l J) #s(literal -2 binary64) U)) (fma.f64 (.f64 l J) #s(literal -2 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))) (-.f64 U (.f64 #s(literal 2 binary64) (*.f64 l J))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J))) (.f64 U U)) (/.f64 #s(literal 1 binary64) (-.f64 (.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) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) #s(approx (+ ( U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J)))) (*.f64 U U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(approx (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 J (.f64 l #s(literal -1/4 binary64)) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 #s(literal 2 binary64) (.f64 l J))) (.f64 #s(literal 4 binary64) (.f64 (.f64 l J) (*.f64 l J)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (.f64 U (-.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (.f64 (/.f64 (.f64 l l) (.f64 U U)) #s(literal -4 binary64)) (fma.f64 (.f64 J (.f64 J (.f64 l l))) (/.f64 #s(literal 4 binary64) (.f64 U U)) (/.f64 (.f64 l (*.f64 J #s(literal -2 binary64))) U))))))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) l) (-.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)

Outputs

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

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

Calls

10 calls:

37.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
32.0ms	K
23.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
21.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	U

Results

Accuracy	Segments	Branch
77.3%	1	`U`
77.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
78.9%	2	`l`
81.6%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
81.6%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
77.3%	1	`J`
77.3%	1	`K`
77.3%	1	`(/.f64 K #s(literal 2 binary64))`
80.0%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
82.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes38.0ms (0.3%)

Memory

-18.2MiB live, 21.3MiB allocated

Counts

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

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

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

Calls

1 calls:

36.0ms

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

Results

Accuracy	Segments	Branch
82.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes55.0ms (0.5%)

Memory

11.5MiB live, 51.1MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

40.0ms

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

7.0ms

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

6.0ms

(+.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
80.5%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
80.5%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
80.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 44 to 34 computations (22.7% saved)

regimes39.0ms (0.3%)

Memory

6.1MiB live, 45.3MiB 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)

Outputs

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

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

Calls

3 calls:

27.0ms

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

6.0ms

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

5.0ms

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

Results

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

Compiler

Compiled 44 to 34 computations (22.7% saved)

regimes107.0ms (0.9%)

Memory

-0.5MiB live, 115.3MiB 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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 (.f64 #s(literal 2 binary64) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (*.f64 J (fma.f64 #s(literal 2 binary64) l (/.f64 U J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (fma.f64 U (/.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (/ (+ (* (* l (* l l)) (* (* J (* J J)) 8)) (* U (* U U))) (+ (* U (- U (* 2 (* l J)))) (* 4 (* (* l J) (* l J))))) (fma.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 J l) U) U) 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)
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (neg.f64 (.f64 U (fma.f64 J (/.f64 (.f64 l #s(literal -2 binary64)) U) #s(literal -1 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J (.f64 l #s(literal 1/192 binary64))) (.f64 (.f64 K K) (.f64 K K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) U)) (.f64 (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 l J) U)))))
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) 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 #s(approx (* 2 (sinh l)) (*.f64 l (fma.f64 (*.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 (*.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U)

Calls

10 calls:

44.0ms	K
17.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
6.0ms	U
6.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
75.2%	1	`J`
75.2%	1	`K`
75.2%	1	`(/.f64 K #s(literal 2 binary64))`
75.2%	1	`U`
75.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
75.2%	1	`l`
75.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
75.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
75.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
78.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes46.0ms (0.4%)

Memory

-19.8MiB live, 75.7MiB allocated

Counts

11 → 4

Calls

Call 1

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

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

Calls

10 calls:

7.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
7.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	U
4.0ms	l
4.0ms	J

Results

Accuracy	Segments	Branch
67.5%	1	`U`
73.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.3%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
70.2%	2	`J`
67.5%	1	`K`
73.3%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
67.5%	1	`(/.f64 K #s(literal 2 binary64))`
76.0%	4	`l`
73.3%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
70.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes6.0ms (0.1%)

Memory

-23.7MiB live, 13.6MiB allocated

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
75.3%	4	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes29.0ms (0.2%)

Memory

26.6MiB live, 65.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
57.6%	1	`K`
57.6%	1	`U`
57.6%	1	`(/.f64 K #s(literal 2 binary64))`
59.2%	2	`J`
61.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
65.2%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
65.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
65.2%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
65.2%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
65.3%	3	`l`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes7.0ms (0.1%)

Memory

-26.1MiB live, 12.8MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
3.0ms	l

Results

Accuracy	Segments	Branch
65.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
65.2%	3	`l`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes19.0ms (0.2%)

Memory

-3.4MiB live, 39.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

8 calls:

6.0ms	U
2.0ms	J
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)

Results

Accuracy	Segments	Branch
57.6%	1	`U`
57.6%	1	`J`
57.6%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
57.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
57.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
57.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
57.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
57.6%	1	`l`

Compiler

Compiled 81 to 63 computations (22.2% saved)

regimes18.0ms (0.2%)

Memory

5.6MiB live, 43.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Calls

10 calls:

4.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	l
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms	U

Results

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.226228434551984e-15	1.418950313216169e-15

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.226228434551984e-15	1.418950313216169e-15

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	1.226228434551984e-15	1.418950313216169e-15

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	0.20082874511929422	0.2286048610401489

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	7.122514792610903e-150
0.0ms	-inf	-2.3066430748224538e-101

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	7.122514792610903e-150
0.0ms	-inf	-2.3066430748224538e-101

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	7.122514792610903e-150
0.0ms	-inf	-2.3066430748224538e-101

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	-0.014736303701904107	0.035982401761005416

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	-0.014736303701904107	0.035982401761005416

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	-0.014736303701904107	0.035982401761005416

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	-0.014736303701904107	0.035982401761005416

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	-0.014736303701904107	0.035982401761005416

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	-0.4344848693663259	-0.43108442384617085

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	-0.4344848693663259	-0.43108442384617085

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch56.0ms (0.5%)

Memory

25.2MiB live, 99.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
4.0ms	3.84342871754902e+174	4.561947572461411e+174
21.0ms	82611738951988.94	7.482082075591782e+21
26.0ms	-102270575591.73065	-18.190010643937825

Samples

39.0ms

336×

valid

Compiler

Compiled 729 to 460 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 12.0ms (41% of total)

ival-exp: 6.0ms (20.5% of total)

ival-mult: 4.0ms (13.7% of total)

ival-div: 2.0ms (6.8% of total)

ival-sub: 2.0ms (6.8% of total)

ival-add: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory

-6.1MiB live, 42.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.7222051028885563e+177	4.446118484217668e+178
3.0ms	82611738951988.94	7.482082075591782e+21
1.0ms	-102270575591.73065	-18.190010643937825

Samples

11.0ms

112×

valid

Compiler

Compiled 897 to 553 computations (38.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-cos: 3.0ms (39.7% of total)

ival-div: 1.0ms (13.2% of total)

ival-exp: 1.0ms (13.2% of total)

ival-mult: 1.0ms (13.2% of total)

ival-sub: 1.0ms (13.2% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Memory

-31.2MiB live, 45.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	82611738951988.94	7.482082075591782e+21
19.0ms	-5.5728872054768935e+29	-3.2622449873221867e+25

Samples

14.0ms

128×

valid

Compiler

Compiled 549 to 344 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 4.0ms (39.5% of total)

ival-exp: 2.0ms (19.7% of total)

ival-mult: 2.0ms (19.7% of total)

ival-div: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

ival-sub: 1.0ms (9.9% of total)

ival-assert: 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)

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	82611738951988.94	7.482082075591782e+21
1.0ms	-5.5728872054768935e+29	-3.2622449873221867e+25

Compiler

Compiled 549 to 344 computations (37.3% saved)

simplify24.0ms (0.2%)

Memory

4.4MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Rules

100×	`*-commutative_binary64`
12×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	1623
1	279	1623
2	284	1623
3	287	1623
4	288	1623

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 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 (.f64 (.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 (.f64 (.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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)) (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 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)) (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 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 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 -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l (fma.f64 l #s(approx (* l (+ (* l (* l 1/2520)) 1/60)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7782220156096217/18014398509481984 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64))) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7782220156096217/18014398509481984 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 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 l #s(literal -37/2 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U) (if (<=.f64 l #s(literal 85000000000000 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))) (if (<=.f64 l #s(literal 3899999999999999807620110632916900610167588085304880485959700869696836139196669685539626594183443910527732080974981995158859371704351558568646375121493268646288645141498429440 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 #s(approx (* 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))))
(if (<=.f64 l #s(literal -37/2 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U) (if (<=.f64 l #s(literal 85000000000000 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))) (if (<=.f64 l #s(literal 1800000000000000013408164903733775804595590889449676970247356574362751734442069088474695777473032705135238084685012363310705780899057591729563024634009229906773770015248790585344 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 #s(approx ( 2 (sinh l)) #s(approx (* l (+ (* l (* l 1/3)) 2)) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U))))
(if (<=.f64 l #s(literal -33000000000000001056964608 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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 85000000000000 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 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))))
(if (<=.f64 l #s(literal -33000000000000001056964608 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 (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 85000000000000 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* l (* 2 J)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #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 #s(literal 2 binary64) (.f64 J l)))))

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 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 U (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 (.f64 (.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 (.f64 (.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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 7098843361278085/5070602400912917605986812821504 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7926335344172073/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 #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 7926335344172073/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)) (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 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) #s(literal -inf.0 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (if (<=.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) #s(literal 0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #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 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) J U)))
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#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 #s(literal 2 binary64) (.f64 J l)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* 2 (* J l)) U) (.f64 #s(literal 2 binary64) (.f64 l J)))))

soundness1.6s (13.5%)

Memory

10.1MiB live, 1 572.4MiB allocated

Rules

16 582×	`lower-fma.f64`
16 582×	`lower-fma.f32`
15 986×	`lower-fma.f64`
15 986×	`lower-fma.f32`
11 630×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	10401
1	1245	10111
2	3718	9596
0	8147	9009
0	57	462
0	100	439
1	379	439
2	2556	439
0	8209	436
0	157	1800
1	491	1800
2	1543	1690
3	3703	1690
0	8065	1605
0	14	48
0	23	40
1	72	40
2	433	40
0	4485	39
0	597	9608
1	2021	9472
2	6860	9394
0	8132	8852
0	361	10206
1	1185	9954
2	3538	9535
0	8194	8881

Stop Event

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

Compiler

Compiled 2 515 to 1 316 computations (47.7% saved)

preprocess170.0ms (1.4%)

Memory: 18.7MiB live, 282.1MiB allocated
Remove: (abs K)
Compiler: Compiled 1 978 to 404 computations (79.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (14.3%)

explain248.0ms (2%)

preprocess110.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify77.0ms (0.6%)

localize93.0ms (0.8%)

series14.0ms (0.1%)

simplify271.0ms (2.2%)

rewrite265.0ms (2.2%)

eval130.0ms (1.1%)

prune79.0ms (0.6%)

simplify376.0ms (3.1%)

localize573.0ms (4.7%)

series69.0ms (0.6%)

simplify378.0ms (3.1%)

rewrite330.0ms (2.7%)

eval216.0ms (1.8%)

prune216.0ms (1.8%)

simplify200.0ms (1.6%)

localize239.0ms (2%)

series61.0ms (0.5%)

simplify344.0ms (2.8%)

rewrite350.0ms (2.9%)

eval203.0ms (1.7%)

prune135.0ms (1.1%)

simplify262.0ms (2.2%)

localize316.0ms (2.6%)

series32.0ms (0.3%)

simplify232.0ms (1.9%)

rewrite644.0ms (5.3%)

eval179.0ms (1.5%)

prune157.0ms (1.3%)

regimes193.0ms (1.6%)

regimes187.0ms (1.5%)

regimes75.0ms (0.6%)

regimes182.0ms (1.5%)

regimes88.0ms (0.7%)

regimes187.0ms (1.5%)

regimes40.0ms (0.3%)

regimes30.0ms (0.2%)

regimes103.0ms (0.8%)

regimes195.0ms (1.6%)

regimes38.0ms (0.3%)

regimes55.0ms (0.5%)

regimes39.0ms (0.3%)

regimes107.0ms (0.9%)

regimes6.0ms (0.1%)

regimes46.0ms (0.4%)

regimes6.0ms (0.1%)

regimes29.0ms (0.2%)

regimes7.0ms (0.1%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch56.0ms (0.5%)

bsearch21.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch2.0ms (0%)

simplify24.0ms (0.2%)

soundness1.6s (13.5%)

preprocess170.0ms (1.4%)

end0.0ms (0%)

Profiling