Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 (16.3%)

Memory

47.7MiB live, 3 261.7MiB allocated

Samples

724.0ms	1 910×	1	valid
678.0ms	6 346×	0	valid

Precisions

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

ival-exp: 455.0ms (40.2% of total)

ival-cos: 273.0ms (24.1% of total)

ival-mult: 140.0ms (12.4% of total)

ival-add: 63.0ms (5.6% of total)

ival-div: 55.0ms (4.9% of total)

ival-sub: 51.0ms (4.5% of total)

adjust: 46.0ms (4.1% of total)

ival-neg: 32.0ms (2.8% of total)

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

exact: 6.0ms (0.5% of total)

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

Bogosity

explain243.0ms (2.3%)

Memory

-31.0MiB live, 448.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
123	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	134	(-1.5870461842283891e-114 3.6811046338785884e+170 8.428307404147891e+253 -2.302350248055178e-43)	-	`(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	134	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	34	0

Confusion

	Predicted +	Predicted -
+	33	0
-	119	104

Precision

0.21710526315789475

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	0
-	119	0	104

Precision?

0.21710526315789475

Recall?

1.0

Freqs

test

number	freq
0	104
1	136
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	180×	1	valid
32.0ms	60×	2	valid
32.0ms	272×	0	valid

Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions

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

ival-exp: 48.0ms (49.2% of total)

ival-cos: 15.0ms (15.4% of total)

ival-mult: 11.0ms (11.3% of total)

adjust: 7.0ms (7.2% of total)

ival-div: 6.0ms (6.1% of total)

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

ival-add: 4.0ms (4.1% 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)

preprocess104.0ms (1%)

Memory

11.8MiB live, 128.2MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.9%	(+.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)

simplify61.0ms (0.6%)

Memory

30.5MiB live, 68.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize101.0ms (0.9%)

Memory

4.0MiB live, 120.0MiB 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	0.046875	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	28.57418016787649	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

30.0ms	136×	0	valid
29.0ms	90×	1	valid
22.0ms	30×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-exp: 23.0ms (34.8% of total)

ival-cos: 22.0ms (33.3% of total)

adjust: 10.0ms (15.1% of total)

ival-mult: 5.0ms (7.6% of total)

ival-sub: 2.0ms (3% of total)

ival-add: 2.0ms (3% of total)

ival-div: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-11.0MiB live, 25.9MiB 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
8.0ms	J	@	0	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	l	@	-inf	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	l	@	inf	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	K	@	0	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
1.0ms	l	@	0	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)

simplify238.0ms (2.2%)

Memory

-5.8MiB live, 326.8MiB 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)

rewrite256.0ms (2.4%)

Memory

-17.4MiB live, 225.2MiB 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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eval61.0ms (0.6%)

Memory: -1.7MiB live, 71.1MiB allocated
Compiler: Compiled 11 636 to 1 183 computations (89.8% saved)

prune83.0ms (0.8%)

Memory

18.9MiB live, 72.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	398	12	410
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	399	12	411

Accuracy

100.0%

Counts

411 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	23.8%	(fma.f64 (.f64 J J) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
	48.0%	(+.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)
▶	94.1%	(+.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)
▶	95.9%	(+.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)
	88.8%	(+.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)
	94.1%	(+.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)
	91.2%	(+.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)
▶	86.9%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	63.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
	86.9%	#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))
	74.8%	#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 658 to 378 computations (42.6% saved)

simplify263.0ms (2.4%)

Memory

8.3MiB live, 197.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 684×	`lower-fma.f32`
8 668×	`lower-fma.f64`
4 510×	`lower-*.f32`
4 476×	`lower-*.f64`
1 780×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	550
0	96	550
1	203	550
2	458	550
3	943	526
4	1671	526
5	3320	526
0	8640	522

Stop Event

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

Calls

Call 1

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

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

localize520.0ms (4.8%)

Memory

-19.0MiB live, 334.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.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))))
accuracy	0.08203125	(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
accuracy	0.2774092764179465	(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	3.061738269956957	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	0.03515625	(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy	0.046875	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.2713236501232762	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy	5.132987983280604	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	0.046875	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.09375	(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy	4.205133769608821	(.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
accuracy	8.81586952424744	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.06640625	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
accuracy	23.38212551102497	#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	0.046875	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))
accuracy	0.1015625	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))

Samples

120.0ms	90×	1	valid
108.0ms	136×	0	valid
84.0ms	30×	2	valid

Compiler

Compiled 395 to 51 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-mult: 127.0ms (46.6% of total)

adjust: 52.0ms (19.1% of total)

ival-exp: 41.0ms (15% of total)

ival-cos: 19.0ms (7% of total)

ival-add: 14.0ms (5.1% of total)

const: 13.0ms (4.8% of total)

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

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

ival-sinh: 1.0ms (0.4% 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)

series106.0ms (1%)

Memory

-6.9MiB live, 80.8MiB allocated

Counts

27 → 708

Calls

Call 1

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

Outputs
#<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 (+ 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 (* 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 (* 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 (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))>
#<alt (+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))>
#<alt (+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* l (+ (* 1/6 (* J (* (pow l 2) (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))))>
#<alt (* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/120 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/6 (* J (cos (* 1/2 K))))))))>
#<alt (* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/6 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/5040 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/120 (* J (cos (* 1/2 K))))))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
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#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* 1/60 (pow l 4))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* 1/60 (pow l 4))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/60 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)))))>

Calls

177 calls:

Time	Variable		Point	Expression
24.0ms	K	@	inf	(+ (* (cos (* 1/2 K)) (* J (* l 2))) U)
6.0ms	l	@	0	(+ (* (* l l) (+ (* (* l l) 1/60) 1/3)) 2)
4.0ms	l	@	inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
2.0ms	l	@	-inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
1.0ms	K	@	inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)

simplify392.0ms (3.6%)

Memory

45.7MiB live, 427.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 374×	`lower-fma.f64`
16 374×	`lower-fma.f32`
6 314×	`lower-*.f64`
6 314×	`lower-*.f32`
4 164×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	9137
1	1144	9083
2	3495	8581
3	7447	8572
0	8320	8095

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 682

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* l (cos (* 1/2 K))))
(* l (+ (* 1/6 (* J (* (pow l 2) (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/120 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/6 (* J (cos (* 1/2 K))))))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/6 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/5040 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/120 (* J (cos (* 1/2 K))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ 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))))))
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(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/60 l)
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* 1/2520 (pow l 3))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 3))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (.f64 K K) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) (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 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))) (.f64 (.f64 K K) (.f64 K K)) U))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 l (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64)) (.f64 (.f64 l l) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J #s(literal 1/2 binary64)))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 K K) #s(literal 1/2 binary64)))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(fma.f64 (.f64 K K) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal 1/768 binary64) (.f64 K K) #s(literal -1/16 binary64))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J #s(literal 1/2 binary64))))
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J
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1
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(cos (* 1/2 K))
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U
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(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
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(fma.f64 (.f64 K K) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
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(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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U
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(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
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(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
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(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
U
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(fma.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
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(fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
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U
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(.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)))
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(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
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(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
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(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
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(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
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(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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U
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(-.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)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (.f64 l (.f64 l l)) (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (.f64 l (.f64 l l)) (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)) l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 1/3 (* J (pow l 2)))
(.f64 l (.f64 l (*.f64 J #s(literal 1/3 binary64))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* 1/3 (* J (pow l 2)))
(.f64 l (.f64 l (*.f64 J #s(literal 1/3 binary64))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(* 1/60 (pow l 4))
(.f64 l (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64))))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 l l) (*.f64 l l)))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (.f64 l l))))) (.f64 (.f64 l l) (.f64 l l)))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (.f64 l l))))) (.f64 (.f64 l l) (.f64 l l)))
(* 1/60 (pow l 4))
(.f64 l (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64))))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/60 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 l l) (*.f64 l l)))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (.f64 l l))))) (.f64 (.f64 l l) (.f64 l l)))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (+.f64 #s(literal 1/60 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (.f64 l l))))) (.f64 (.f64 l l) (.f64 l l)))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/2520 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/2520 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/60 l)
(*.f64 l #s(literal 1/60 binary64))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* 1/2520 (pow l 3))
(.f64 l (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* 1/2520 (pow l 3))
(.f64 l (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))

rewrite366.0ms (3.4%)

Memory

-7.8MiB live, 501.9MiB allocated

Rules

6 846×	`lower-fma.f32`
6 830×	`lower-fma.f64`
4 734×	`lower-*.f32`
4 700×	`lower-*.f64`
3 252×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	418
0	96	394
1	363	393
2	2536	393
0	8968	390

Stop Event

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

Counts

27 → 450

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) U)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 U (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)))))
(fma.f64 J (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 J (.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (sinh.f64 l) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) U)
(fma.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
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(.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) (.f64 l (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 l l) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 4 binary64)) (.f64 l (.f64 (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(-.f64 (/.f64 #s(literal 1/3600 binary64) (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (/.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)) (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l #s(literal 1/2520 binary64)) l #s(literal 1/60 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 l 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))))
(/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)) (.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 l 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)))))
(/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l 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 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #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 (.f64 l 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 (.f64 l l) #s(literal 1/2520 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3600 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.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 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #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 (.f64 l 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 (.f64 l l) #s(literal 1/2520 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #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 (.f64 l 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) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #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 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(+.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))))
(+.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l #s(literal 1/60 binary64)))
(-.f64 (/.f64 (.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (-.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l #s(literal 1/60 binary64)))) (/.f64 (.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l #s(literal 1/60 binary64))) (-.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l #s(literal 1/60 binary64)))))
(fma.f64 l #s(literal 1/60 binary64) (.f64 l (.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(fma.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)) (*.f64 l #s(literal 1/60 binary64)))
(fma.f64 (.f64 l l) (.f64 l #s(literal 1/2520 binary64)) (*.f64 l #s(literal 1/60 binary64)))
(fma.f64 #s(literal 1/60 binary64) l (.f64 l (.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(fma.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l)) (*.f64 l #s(literal 1/60 binary64)))
(fma.f64 (.f64 (.f64 l l) #s(literal 1/2520 binary64)) l (*.f64 l #s(literal 1/60 binary64)))
(fma.f64 (.f64 l #s(literal 1/2520 binary64)) (.f64 l l) (*.f64 l #s(literal 1/60 binary64)))
(fma.f64 (.f64 l (.f64 l l)) #s(literal 1/2520 binary64) (*.f64 l #s(literal 1/60 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64))) (.f64 l (.f64 l l)) (.f64 #s(literal 1/216000 binary64) (.f64 l (.f64 l l)))) (fma.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (-.f64 (.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l #s(literal 1/60 binary64))) (.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (*.f64 l #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l #s(literal 1/60 binary64)))) (-.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l #s(literal 1/60 binary64))))
(/.f64 (.f64 l (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (.f64 l (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))
(/.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) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64))) (.f64 l (.f64 l l)) (.f64 #s(literal 1/216000 binary64) (.f64 l (.f64 l l))))) (neg.f64 (fma.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (-.f64 (.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l #s(literal 1/60 binary64))) (.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (*.f64 l #s(literal 1/60 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l #s(literal 1/60 binary64))))) (neg.f64 (-.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l #s(literal 1/60 binary64)))))
(/.f64 (neg.f64 (.f64 l (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 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (.f64 l (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (neg.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)) (neg.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l)) (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (fma.f64 #s(literal 1/216000 binary64) (.f64 l (.f64 l l)) (.f64 (.f64 (.f64 l l) (.f64 (.f64 l l) (.f64 l l))) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)))) (fma.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l #s(literal 1/60 binary64)) (-.f64 (.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64))) (.f64 l (.f64 (.f64 l l) #s(literal 1/2520 binary64)))) (.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l)

eval190.0ms (1.8%)

Memory: -12.6MiB live, 427.9MiB allocated
Compiler: Compiled 32 626 to 2 351 computations (92.8% saved)

prune102.0ms (1%)

Memory

29.2MiB live, 270.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1 123	9	1 132
Fresh	6	1	7
Picked	5	0	5
Done	0	0	0
Total	1 134	10	1 144

Accuracy

100.0%

Counts

1 144 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.5%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
▶	81.5%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	48.0%	(+.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)
	63.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
▶	45.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	41.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
	42.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (.f64 J (.f64 l #s(literal 2 binary64)))) (neg.f64 (.f64 U U))) (fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))) (neg.f64 U))))
	45.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
▶	53.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
▶	29.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 468 to 274 computations (41.5% saved)

simplify191.0ms (1.8%)

Memory

-11.7MiB live, 425.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l))
cost-diff	0	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
cost-diff	0	(.f64 J (.f64 l #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
cost-diff	0	(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
cost-diff	0	(*.f64 l #s(literal 2 binary64))
cost-diff	0	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
cost-diff	0	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
cost-diff	0	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)

Rules

5 606×	`lower-fma.f32`
5 592×	`lower-fma.f64`
4 732×	`lower-*.f32`
4 714×	`lower-*.f64`
2 146×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	396
0	77	396
1	140	396
2	292	396
3	618	390
4	1236	390
5	3297	390
6	6972	390
0	8113	383

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (1.5%)

Memory

8.0MiB live, 409.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.046875	(.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l))
accuracy	0.1015625	(.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
accuracy	32.96271403453621	#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	0.125	(.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	23.38212551102497	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	31.649289245910534	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	0.06640625	(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)
accuracy	0.2934594515500681	(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
accuracy	23.38212551102497	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
accuracy	32.85664921273371	#s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
accuracy	0	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
accuracy	0	(*.f64 l #s(literal 2 binary64))
accuracy	12.733923099664649	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
accuracy	23.38212551102497	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.046875	(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
accuracy	0.1015625	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
accuracy	29.5617129522469	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))

Samples

66.0ms	202×	0	valid
43.0ms	54×	1	valid

Compiler

Compiled 260 to 42 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 25.0ms (30.8% of total)

ival-cos: 19.0ms (23.4% of total)

ival-exp: 12.0ms (14.8% of total)

ival-add: 9.0ms (11.1% of total)

const: 6.0ms (7.4% of total)

adjust: 4.0ms (4.9% of total)

ival-sinh: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.2% of total)

ival-div: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series25.0ms (0.2%)

Memory

4.6MiB live, 42.4MiB allocated

Counts

23 → 696

Calls

Call 1

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

Outputs
#<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)))))>
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#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))>
#<alt (+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))>
#<alt (+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* l (+ (* 1/6 (* J (* (pow l 2) (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))))>
#<alt (* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/120 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/6 (* J (cos (* 1/2 K))))))))>
#<alt (* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/6 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/5040 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/120 (* J (cos (* 1/2 K))))))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt 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 -1/8>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (- (* 1/384 (pow K 2)) 1/8)>
#<alt (* 1/384 (pow K 2))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* 1/384 (pow K 2))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))>
#<alt 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

174 calls:

Time	Variable		Point	Expression
5.0ms	l	@	-inf	(+ (* J (* l 2)) U)
0.0ms	K	@	inf	(+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1)
0.0ms	l	@	0	(* (* J (* l 2)) (cos (* 1/2 K)))
0.0ms	J	@	0	(* (* J (* l 2)) (cos (* 1/2 K)))
0.0ms	l	@	inf	(+ (* J (* l 2)) U)

simplify389.0ms (3.6%)

Memory

-17.8MiB live, 453.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 860×	`lower-fma.f64`
14 860×	`lower-fma.f32`
6 668×	`lower-*.f64`
6 668×	`lower-*.f32`
3 334×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	8640
1	933	8640
2	2798	8228
3	6148	8164
0	8648	7672

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 657

Calls

Call 1

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

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

rewrite404.0ms (3.8%)

Memory

17.7MiB live, 490.2MiB allocated

Rules

6 012×	`lower-fma.f32`
5 998×	`lower-fma.f64`
5 704×	`lower-*.f32`
5 686×	`lower-*.f64`
3 946×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	339
0	77	333
1	263	333
2	1780	333
0	8681	326

Stop Event

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

Counts

23 → 299

Calls

Call 1

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

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

eval136.0ms (1.3%)

Memory: 7.1MiB live, 306.4MiB allocated
Compiler: Compiled 24 785 to 1 231 computations (95% saved)

prune138.0ms (1.3%)

Memory

-35.3MiB live, 199.2MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 033	14	1 047
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	1 038	19	1 057

Accuracy

100.0%

Counts

1 057 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #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(literal 2 binary64) U)
	58.6%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
✓	81.5%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
▶	77.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
▶	78.3%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
	74.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
▶	63.4%	(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
	48.0%	(+.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)
	36.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	42.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (.f64 J (.f64 l #s(literal 2 binary64)))) (neg.f64 (.f64 U U))) (fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))) (neg.f64 U))))
✓	53.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
	13.5%	#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 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
	37.1%	#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 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
	13.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
	29.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
✓	29.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	24.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
▶	19.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
	23.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))

Compiler

Compiled 942 to 534 computations (43.3% saved)

simplify217.0ms (2%)

Memory

35.5MiB live, 344.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))
cost-diff	0	#s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l)))
cost-diff	0	(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
cost-diff	0	#s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #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)))
cost-diff	0	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #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(literal 2 binary64) U)
cost-diff	0	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #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)))
cost-diff	0	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
cost-diff	0	(.f64 J (.f64 l #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
cost-diff	0	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l)))
cost-diff	0	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)

Rules

9 194×	`lower-fma.f32`
9 174×	`lower-fma.f64`
3 942×	`lower-*.f32`
3 914×	`lower-*.f64`
1 672×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	577
0	100	557
1	194	553
2	391	553
3	822	553
4	1478	553
5	2220	553
6	3134	553
7	4732	553
8	6352	553
9	7591	553
0	8127	543

Stop Event

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

Calls

Call 1

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

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

localize275.0ms (2.6%)

Memory

-33.7MiB live, 376.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.12109375	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))
accuracy	23.412929006143084	#s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l)))
accuracy	0.1015625	(.f64 J #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
accuracy	0.27307213807681374	(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy	5.535173710926647	#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))
accuracy	32.96271403453621	#s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0.1015625	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
accuracy	0.27307213807681374	(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy	5.535173710926647	#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))
accuracy	29.561712952246896	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
accuracy	0	(.f64 J (.f64 l #s(literal 2 binary64)))
accuracy	12.733923099664649	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64)))))
accuracy	23.38212551102497	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
accuracy	31.723994474121895	#s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))
accuracy	0.1953125	(.f64 (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l)
accuracy	0.27806580275319626	(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
accuracy	3.062023844285513	#s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))
accuracy	29.561712952246896	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))

Samples

107.0ms	202×	0	valid
74.0ms	54×	1	valid

Compiler

Compiled 348 to 54 computations (84.5% saved)

Precisions

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

ival-mult: 58.0ms (39.5% of total)

ival-exp: 34.0ms (23.2% of total)

ival-cos: 20.0ms (13.6% of total)

ival-add: 13.0ms (8.9% of total)

const: 10.0ms (6.8% of total)

adjust: 5.0ms (3.4% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

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

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

series16.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Counts

24 → 684

Calls

Call 1

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

Outputs
#<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 (+ 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 (* 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 (* 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 (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))>
#<alt (+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))>
#<alt (+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))>
#<alt (* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
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#<alt (* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))>
#<alt (* 1/5040 (pow l 2))>
#<alt (* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))>
#<alt (* 1/6 l)>
#<alt (* l (+ 1/6 (* 1/120 (pow l 2))))>
#<alt (* l (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))>
#<alt (* l (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))>
#<alt (* 1/5040 (pow l 5))>
#<alt (* (pow l 5) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))>
#<alt (* (pow l 5) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))>
#<alt (* (pow l 5) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))>
#<alt (* 1/5040 (pow l 5))>
#<alt (* (pow l 5) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow l 2)))) (pow l 2))) 1/5040)))>
#<alt (* -1 (* (pow l 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow l 2)))) (pow l 2))) 1/5040)))>
#<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 1/6>
#<alt (+ 1/6 (* 1/120 (pow l 2)))>
#<alt (+ 1/6 (* 1/120 (pow l 2)))>
#<alt (+ 1/6 (* 1/120 (pow l 2)))>
#<alt (* 1/120 (pow l 2))>
#<alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))>
#<alt (* 1/120 (pow l 2))>
#<alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>

Calls

171 calls:

Time	Variable		Point	Expression
1.0ms	l	@	-inf	(* (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l)
0.0ms	l	@	inf	(* (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l)
0.0ms	l	@	0	(* (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l)
0.0ms	l	@	-inf	(* (cos (* 1/2 K)) (* J l))
0.0ms	J	@	-inf	(* (cos (* 1/2 K)) (* J l))

simplify344.0ms (3.2%)

Memory

0.2MiB live, 436.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16 452×	`lower-fma.f64`
16 452×	`lower-fma.f32`
6 528×	`lower-*.f64`
6 528×	`lower-*.f32`
3 770×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	8816
1	1041	8816
2	3143	8314
3	6773	8288
0	8595	7847

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 652

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* l (cos (* 1/2 K))))
(* l (+ (* 1/6 (* J (* (pow l 2) (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/120 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/6 (* J (cos (* 1/2 K))))))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/6 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/5040 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/120 (* J (cos (* 1/2 K))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
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)))))
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(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J l)
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
1/120
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(+ 1/120 (* 1/5040 (pow l 2)))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* 1/5040 (pow l 2))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* 1/6 l)
(* l (+ 1/6 (* 1/120 (pow l 2))))
(* l (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* l (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(* 1/5040 (pow l 5))
(* (pow l 5) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* (pow l 5) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(* 1/5040 (pow l 5))
(* (pow l 5) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow l 2)))) (pow l 2))) 1/5040)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow l 2)))) (pow l 2))) 1/5040)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(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)))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (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)))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (.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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)))) U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (.f64 K K) (.f64 J #s(literal -1/8 binary64)) J) (fma.f64 (.f64 K K) (.f64 (.f64 K (.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 J (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))) U))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 l (fma.f64 J (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l l))) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (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)
(* 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 (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) (/ 1 (exp 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) (/ 1 (exp 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) (/ 1 (exp 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) (/ 1 (exp 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) (/ 1 (exp 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)
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(.f64 #s(literal 1/2 binary64) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 K K) #s(literal 1/2 binary64)))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(fma.f64 (.f64 K K) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal 1/768 binary64) (.f64 K K) #s(literal -1/16 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 K (.f64 K (.f64 (.f64 J (.f64 K (.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (fma.f64 #s(literal -1/92160 binary64) (.f64 K K) #s(literal 1/768 binary64)))) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 K K) #s(literal 1/2 binary64))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
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(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(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)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/5040 binary64))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/5040 binary64))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow l 2) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/6 l)
(*.f64 l #s(literal 1/6 binary64))
(* l (+ 1/6 (* 1/120 (pow l 2))))
(.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* l (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(.f64 l (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)))
(* l (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))
(.f64 l (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)))
(* 1/5040 (pow l 5))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 l l))) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(.f64 (pow.f64 l #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 l l))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) (*.f64 l l)))))
(* (pow l 5) (+ 1/5040 (+ (/ 1/6 (pow l 4)) (* 1/120 (/ 1 (pow l 2))))))
(.f64 (pow.f64 l #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 l l))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 l l) (*.f64 l l)))))
(* 1/5040 (pow l 5))
(*.f64 #s(literal 1/5040 binary64) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ 1/5040 (* 1/120 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 l l))) (pow.f64 l #s(literal 5 binary64)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow l 2)))) (pow l 2))) 1/5040)))
(.f64 (pow.f64 l #s(literal 5 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 l l))) (*.f64 l l))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow l 2)))) (pow l 2))) 1/5040)))
(.f64 (pow.f64 l #s(literal 5 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 l l))) (*.f64 l l))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(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)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/120 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/120 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)

rewrite264.0ms (2.5%)

Memory

39.5MiB live, 453.1MiB allocated

Rules

6 136×	`lower-*.f32`
6 108×	`lower-*.f64`
4 184×	`lower-/.f64`
4 184×	`lower-/.f32`
3 708×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	419
0	100	407
1	361	404
2	2416	404
0	8412	395

Stop Event

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

Counts

24 → 285

Calls

Call 1

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

Outputs
(+.f64 U (.f64 J (.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64))))
(+.f64 (.f64 J (.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64))) U)
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 J (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)))) (.f64 J (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)))))) (fma.f64 J (.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64)) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 J (.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 J (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)))) (.f64 J (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)))))) (-.f64 U (.f64 J (.f64 (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64))))))
(fma.f64 J (.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)) #s(literal 2 binary64))) U)
(fma.f64 J (.f64 (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64)) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) (.f64 J (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)) #s(literal 2 binary64))) U)
(fma.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)) #s(literal 2 binary64)) U)
(fma.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)) (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 J (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)))) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 J (.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)))) U)
(fma.f64 (.f64 #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) l)) #s(literal 2 binary64)) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) U)
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/36 binary64)) (.f64 (.f64 l l) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) (.f64 l l))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 l (.f64 l #s(literal 1/120 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/36 binary64)) (.f64 (.f64 l l) #s(literal 1/720 binary64))) (fma.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/36 binary64)) (.f64 (*.f64 l l) #s(literal 1/720 binary64)))))
(.f64 (fma.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 K #s(literal -2 binary64)))
(neg.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) K))))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 K)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 K))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 K #s(literal 1/2 binary64)))
(*.f64 (neg.f64 K) #s(literal -1/2 binary64))

eval202.0ms (1.9%)

Memory: -30.3MiB live, 329.2MiB allocated
Compiler: Compiled 30 511 to 1 427 computations (95.3% saved)

prune96.0ms (0.9%)

Memory

18.9MiB live, 214.1MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	1 019	11	1 030
Fresh	2	9	11
Picked	3	2	5
Done	0	3	3
Total	1 024	25	1 049

Accuracy

100.0%

Counts

1 049 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
	58.6%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
✓	81.5%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	48.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
	58.3%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
	78.3%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
	77.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
	74.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
	77.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
	74.2%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
✓	63.4%	(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
	45.1%	(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
	48.0%	(+.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)
	36.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	42.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (.f64 J (.f64 l #s(literal 2 binary64)))) (neg.f64 (.f64 U U))) (fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))) (neg.f64 U))))
✓	53.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
	13.5%	#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 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
	37.1%	#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 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
	13.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
	29.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
✓	29.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	24.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
	19.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
✓	19.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
	23.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))

Compiler

Compiled 1 701 to 606 computations (64.4% saved)

regimes161.0ms (1.5%)

Memory

4.1MiB live, 195.6MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
#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 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (.f64 J (.f64 l #s(literal 2 binary64)))) (neg.f64 (.f64 U U))) (fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l #s(literal 2 binary64))) (neg.f64 U))))
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 J J) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))

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

Calls

10 calls:

39.0ms	(/.f64 K #s(literal 2 binary64))
18.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
16.0ms	U
15.0ms	J
14.0ms	l

Results

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes146.0ms (1.4%)

Memory

6.8MiB live, 220.4MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
#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 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Outputs

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

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

Calls

10 calls:

28.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
17.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
17.0ms	K
15.0ms	l
14.0ms	(+.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
95.9%	1	`J`
95.9%	1	`l`
95.9%	1	`K`
95.9%	1	`U`
95.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
95.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
95.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
95.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
97.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.9%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes117.0ms (1.1%)

Memory

-6.9MiB live, 241.4MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
#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 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

Calls

10 calls:

14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	J
12.0ms	K
11.0ms	(+.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
94.1%	1	`l`
94.1%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
94.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
94.1%	1	`J`
96.7%	2	`K`
94.1%	1	`U`
94.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
94.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
96.7%	2	`(/.f64 K #s(literal 2 binary64))`
97.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes152.0ms (1.4%)

Memory

-18.9MiB live, 209.0MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
#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 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

Calls

10 calls:

26.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
15.0ms	J
12.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	U

Results

Accuracy	Segments	Branch
94.0%	3	`l`
88.8%	1	`U`
88.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
88.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
88.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
88.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
88.8%	1	`J`
94.1%	2	`K`
94.1%	2	`(/.f64 K #s(literal 2 binary64))`
94.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes50.0ms (0.5%)

Memory

8.6MiB live, 52.8MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
#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 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

Calls

3 calls:

28.0ms	K
10.0ms	(/.f64 K #s(literal 2 binary64))
10.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
92.6%	2	`K`
92.6%	2	`(/.f64 K #s(literal 2 binary64))`
93.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes12.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
#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 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))

Outputs

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
93.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes169.0ms (1.6%)

Memory

13.6MiB live, 163.5MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))
#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 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)

Outputs

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

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

Calls

10 calls:

43.0ms	U
31.0ms	K
26.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	l
10.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.6%	3	`J`
81.5%	1	`U`
87.1%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
87.1%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
87.1%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
87.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
90.7%	5	`l`
81.5%	1	`K`
81.5%	1	`(/.f64 K #s(literal 2 binary64))`
90.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes16.0ms (0.1%)

Memory

-21.2MiB live, 17.9MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 (.f64 l #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)))

Outputs

(fma.f64 (*.f64 (*.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
88.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes60.0ms (0.6%)

Memory

-4.7MiB live, 73.5MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (fma.f64 (.f64 J (.f64 J J)) (.f64 #s(literal 8 binary64) (.f64 l (.f64 l l))) (.f64 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 J (.f64 l #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l))))))))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (/.f64 (.f64 (fma.f64 (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) l))) #s(literal 2 binary64) U)

Outputs

(fma.f64 (*.f64 (*.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (*.f64 (*.f64 l l) #s(literal 1/120 binary64))) (*.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)

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

Calls

6 calls:

16.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
13.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
8.0ms	l
8.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
6.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
78.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
78.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
78.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
78.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
80.2%	2	`l`
85.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes13.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	J
6.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
78.3%	1	`J`
84.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes35.0ms (0.3%)

Memory

-0.9MiB live, 40.5MiB 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 (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (*.f64 K K)) l)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(approx (+ (* (* K K) (+ (* (* K K) 1/384) -1/8)) 1) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K))))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) #s(approx ( (+ (* (* l l) (+ (* (* l l) 1/5040) 1/120)) 1/6) l) (.f64 l (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (*.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 #s(literal 4 binary64) (.f64 (.f64 J l) (.f64 J l)))) (-.f64 U (.f64 J (*.f64 l #s(literal 2 binary64)))))))

Outputs

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

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

Calls

4 calls:

16.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	U
6.0ms	K
6.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
77.2%	1	`K`
77.2%	1	`U`
77.2%	1	`(/.f64 K #s(literal 2 binary64))`
82.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
82.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes41.0ms (0.4%)

Memory

-3.3MiB live, 36.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

20.0ms	l
4.0ms	J
4.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
74.2%	1	`J`
74.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
74.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
74.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
74.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
74.2%	1	`l`
79.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 76 to 59 computations (22.4% saved)

regimes59.0ms (0.6%)

Memory

2.8MiB live, 42.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

37.0ms	K
3.0ms	J
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms	U

Results

Accuracy	Segments	Branch
53.5%	1	`J`
58.3%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
58.3%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
59.1%	3	`l`
58.3%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
58.3%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
53.5%	1	`U`
53.5%	1	`K`
53.5%	1	`(/.f64 K #s(literal 2 binary64))`
58.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
58.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory

-33.2MiB live, 5.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
57.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes11.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes27.0ms (0.2%)

Memory

-5.3MiB live, 34.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
19.2%	1	`U`
19.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
19.2%	1	`J`
19.2%	1	`K`
19.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
19.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
19.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
19.2%	1	`(/.f64 K #s(literal 2 binary64))`
19.2%	1	`l`
19.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9578875260390449	0.9626363410590585

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	0.9578875260390449	0.9626363410590585

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	-0.048434838279261525	0.017524950799828992

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	-0.048434838279261525	0.017524950799828992

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	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048434838279261525	0.017524950799828992

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	-0.048434838279261525	0.017524950799828992

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	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.048434838279261525	0.017524950799828992

Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify27.0ms (0.3%)

Memory

-13.1MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1064
1	207	1064

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (.f64 K K)) l)))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (.f64 K K)) l)))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (.f64 K K)) l)))) #s(literal 2 binary64) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))

Outputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))))) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))))) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 #s(approx (+ ( (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l (fma.f64 (.f64 l l) #s(approx (+ ( (* l l) 1/5040) 1/120) (.f64 (.f64 l l) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (.f64 K K)) l)))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 #s(approx (+ (* (* l l) 1/120) 1/6) (.f64 (.f64 l l) #s(literal 1/120 binary64))) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (.f64 K K)) l)))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 l (.f64 l #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (* (* J (cos (* K 1/2))) (sinh l)) #s(approx (* (cos (* 1/2 K)) (* J l)) (.f64 J (fma.f64 #s(literal -1/8 binary64) (.f64 l (.f64 K K)) l)))) #s(literal 2 binary64) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (* (* J (* l 2)) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)))))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 J (.f64 l #s(literal 2 binary64))))))

soundness1.7s (15.9%)

Memory

-40.3MiB live, 1 385.6MiB allocated

Rules

16 452×	`lower-fma.f64`
16 452×	`lower-fma.f32`
16 374×	`lower-fma.f64`
16 374×	`lower-fma.f32`
14 860×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	8816
1	1041	8816
2	3143	8314
3	6773	8288
0	8595	7847
0	14	48
0	23	40
1	72	40
2	433	40
0	4485	39
0	340	9137
1	1144	9083
2	3495	8581
3	7447	8572
0	8320	8095
0	157	1800
1	491	1800
2	1543	1690
3	3703	1690
0	8065	1605
0	290	8640
1	933	8640
2	2798	8228
3	6148	8164
0	8648	7672

Stop Event

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

Compiler

Compiled 1 858 to 993 computations (46.6% saved)

preprocess196.0ms (1.8%)

Memory: 37.0MiB live, 267.5MiB allocated
Remove: (abs K)
Compiler: Compiled 1 332 to 264 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (16.3%)

explain243.0ms (2.3%)

preprocess104.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify61.0ms (0.6%)

localize101.0ms (0.9%)

series21.0ms (0.2%)

simplify238.0ms (2.2%)

rewrite256.0ms (2.4%)

eval61.0ms (0.6%)

prune83.0ms (0.8%)

simplify263.0ms (2.4%)

localize520.0ms (4.8%)

series106.0ms (1%)

simplify392.0ms (3.6%)

rewrite366.0ms (3.4%)

eval190.0ms (1.8%)

prune102.0ms (1%)

simplify191.0ms (1.8%)

localize166.0ms (1.5%)

series25.0ms (0.2%)

simplify389.0ms (3.6%)

rewrite404.0ms (3.8%)

eval136.0ms (1.3%)

prune138.0ms (1.3%)

simplify217.0ms (2%)

localize275.0ms (2.6%)

series16.0ms (0.2%)

simplify344.0ms (3.2%)

rewrite264.0ms (2.5%)

eval202.0ms (1.9%)

prune96.0ms (0.9%)

regimes161.0ms (1.5%)

regimes146.0ms (1.4%)

regimes117.0ms (1.1%)

regimes152.0ms (1.4%)

regimes50.0ms (0.5%)

regimes12.0ms (0.1%)

regimes169.0ms (1.6%)

regimes16.0ms (0.1%)

regimes60.0ms (0.6%)

regimes13.0ms (0.1%)

regimes35.0ms (0.3%)

regimes5.0ms (0.1%)

regimes41.0ms (0.4%)

regimes59.0ms (0.6%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes27.0ms (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%)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

soundness1.7s (15.9%)

preprocess196.0ms (1.8%)

end0.0ms (0%)

Profiling