Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.0s (18.4%)

Memory

52.9MiB live, 2 974.3MiB allocated

Samples

840.0ms	6 375×	0	valid
758.0ms	1 881×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-exp: 450.0ms (34.1% of total)

ival-cos: 353.0ms (26.7% of total)

ival-mult: 203.0ms (15.4% of total)

ival-div: 93.0ms (7% of total)

adjust: 73.0ms (5.5% of total)

ival-sub: 51.0ms (3.9% of total)

ival-add: 47.0ms (3.6% of total)

ival-neg: 34.0ms (2.6% of total)

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

exact: 5.0ms (0.4% of total)

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

Bogosity

explain246.0ms (2.3%)

Memory

-13.5MiB live, 548.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
135	0	-	1	(-6.954316732828997e+189 0.009281865891832854 4.005559753481406e-52 1.630893412593613e-98)	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	0	-	`K`
0	0	-	0	-	`(neg.f64 l)`
0	0	-	0	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	0	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	135	(6.780185938857581e+26 -7.355345477580733e-38 8.464103980104438e+33 -6.476612922630019e+189)	0	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	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	-	0	-	`J`
0	0	-	0	-	`U`
0	0	-	0	-	`(exp.f64 (neg.f64 l))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(exp.f64 l)`
0	0	-	0	-	`l`
0	0	-	0	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	135	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	54	1

Confusion

	Predicted +	Predicted -
+	52	1
-	110	93

Precision

0.32098765432098764

Recall

0.9811320754716981

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	1	0
-	110	0	93

Precision?

0.32515337423312884

Recall?

1.0

Freqs

test

number	freq
0	94
1	135
2	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

79.0ms	208×	1	valid
30.0ms	260×	0	valid
24.0ms	44×	2	valid

Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-exp: 53.0ms (51.6% of total)

ival-cos: 19.0ms (18.5% of total)

ival-mult: 10.0ms (9.7% of total)

adjust: 7.0ms (6.8% of total)

ival-sub: 4.0ms (3.9% of total)

ival-div: 4.0ms (3.9% of total)

ival-add: 4.0ms (3.9% of total)

ival-neg: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess91.0ms (0.9%)

Memory

-15.0MiB live, 104.9MiB 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)

Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.0%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify52.0ms (0.5%)

Memory

20.9MiB live, 60.4MiB 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
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

localize109.0ms (1%)

Memory

-16.6MiB live, 233.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.0078125	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.078125	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	30.391711478452	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

52.0ms	104×	1	valid
17.0ms	130×	0	valid
12.0ms	22×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-exp: 36.0ms (57.7% of total)

ival-cos: 9.0ms (14.4% of total)

ival-mult: 7.0ms (11.2% of total)

adjust: 4.0ms (6.4% of total)

ival-sub: 2.0ms (3.2% of total)

ival-div: 2.0ms (3.2% of total)

ival-add: 2.0ms (3.2% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

-26.1MiB live, 56.0MiB allocated

Counts

5 → 132

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	J	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
2.0ms	l	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms	J	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms	l	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))

simplify168.0ms (1.6%)

Memory

26.8MiB live, 305.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1758
1	453	1758
2	1465	1648
3	3571	1648
0	8160	1568

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

Calls

Call 1

Inputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (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 (* 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)))))))))))
(* 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))))))))))
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)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (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)))))
(* 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)))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(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))))))
(* 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)))))
(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)))))
(* 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 (* (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)))))
(* 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 (* (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)))))
(* 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))))
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)))))))))
(* 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))))))))))
(* 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)))))))
(* 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))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (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)))))
(* 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))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -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 (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))

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

rewrite155.0ms (1.5%)

Memory

-4.0MiB live, 238.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 264

Calls

Call 1

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

Outputs
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eval48.0ms (0.5%)

Memory: 1.9MiB live, 120.9MiB allocated
Compiler: Compiled 10 890 to 1 163 computations (89.3% saved)

prune15.0ms (0.1%)

Memory

9.4MiB live, 48.2MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	382	10	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	383	10	393

Accuracy

100.0%

Counts

393 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	53.5%	(+.f64 (/.f64 (.f64 (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) J) (*.f64 (cosh.f64 l) #s(literal 2 binary64))) U)
▶	99.9%	(+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
	99.9%	(+.f64 (.f64 (/.f64 J (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	94.4%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	92.2%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	88.6%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	69.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
▶	64.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
	86.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

Compiler

Compiled 346 to 292 computations (15.6% saved)

simplify126.0ms (1.2%)

Memory

-8.0MiB live, 150.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
cost-diff	128	(+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff	768	(/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) J)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
cost-diff	0	(*.f64 K #s(literal -1/2 binary64))
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Rules

6 408×	`lower-fma.f32`
6 396×	`lower-fma.f64`
3 950×	`lower-*.f32`
3 922×	`lower-*.f64`
2 476×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	454
0	89	451
1	157	447
2	300	447
3	676	429
4	1644	429
5	4658	429
0	8425	426

Stop Event

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

Calls

Call 1

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

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

localize637.0ms (6%)

Memory

-4.4MiB live, 867.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy	0.08984375	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
accuracy	0.139003759768442	(/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
accuracy	0.01953125	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)
accuracy	0.02734375	(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
accuracy	0.078125	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	1.585785908730344	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
accuracy	0.0078125	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy	0.078125	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	1.689803296903951	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0	(*.f64 #s(literal 2 binary64) l)
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.0390625	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
accuracy	1.498658666339642	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
accuracy	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.01953125	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.0625	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))

Samples

362.0ms	114×	5	exit
152.0ms	104×	1	valid
56.0ms	22×	2	valid
8.0ms	16×	0	valid

Compiler

Compiled 345 to 50 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 453.0ms

ival-cos: 190.0ms (42% of total)

ival-mult: 99.0ms (21.9% of total)

adjust: 64.0ms (14.1% of total)

ival-exp: 30.0ms (6.6% of total)

ival-add: 29.0ms (6.4% of total)

const: 15.0ms (3.3% of total)

ival-div: 11.0ms (2.4% of total)

ival-sinh: 8.0ms (1.8% of total)

ival-sub: 4.0ms (0.9% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series92.0ms (0.9%)

Memory

16.9MiB live, 126.9MiB allocated

Counts

25 → 648

Calls

Call 1

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

Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) (patch (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) (patch (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) (patch (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor 0 U) (#s(alt (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) (patch (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt U (taylor inf U) (#s(alt (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) (patch (+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow l 3)) (taylor -inf l) (#s(alt (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (patch (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (patch (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (patch (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (patch (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 4)) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2)))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2)))))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 7)) (taylor -inf l) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	l	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (sinh l) (cos (* K 1/2)) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))
10.0ms	J	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (sinh l) (cos (* K 1/2)) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))
6.0ms	l	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (sinh l) (cos (* K 1/2)) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))
6.0ms	K	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (sinh l) (cos (* K 1/2)) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))
4.0ms	J	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (sinh l) (cos (* K 1/2)) (* (+ (* (* l l) 1/3) 2) l) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))

simplify205.0ms (1.9%)

Memory

21.9MiB live, 293.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 182×	`lower-fma.f64`
15 182×	`lower-fma.f32`
6 700×	`lower-*.f64`
6 700×	`lower-*.f32`
5 112×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	8583
1	1266	8547
2	3871	8071
0	8218	7675

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 622

Calls

Call 1

Inputs
(* 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) (exp (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))))))
(* 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))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (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))))))
(* 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
(* 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
(* 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
(* 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
(* 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
(* 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)))
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
(* -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
(* -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
(* -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
(* -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)))
(+ 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)))))))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
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)))
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(* -1/2 K)
(+ 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 (* 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 (* 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)))))))))))
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(* 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))))))))
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)))))))))
(* 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))))))))))
(* 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)))))))
(* 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))))))))
(* 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))))))))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
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)))))))))
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))))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 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))))))))
(+ 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))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (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))))))
(* 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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)))))
(* 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))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (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)))))
(* 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))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (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))))))
(* 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))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(+ 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))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(+ 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))))))
(* 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -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 (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (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 (* (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 (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 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))))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (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))))))
(* 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))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))

Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
U
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(.f64 (fma.f64 (.f64 (.f64 l J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(.f64 (fma.f64 (.f64 (.f64 l J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(.f64 (fma.f64 (.f64 (.f64 l J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(.f64 (fma.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U) #s(literal 1 binary64)) U)
U
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(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K #s(literal -1/2 binary64))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K #s(literal -1/2 binary64))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K #s(literal -1/2 binary64))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K #s(literal -1/2 binary64))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (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)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (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)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 K #s(literal -1/2 binary64))) U)
(* 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))))
(* 1/3 (pow l 3))
(*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))
(* 1/2520 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)) (pow.f64 l #s(literal 4 binary64)))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (pow.f64 l #s(literal 4 binary64)))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (pow.f64 l #s(literal 4 binary64)))
(* 1/2520 (pow l 7))
(*.f64 (pow.f64 l #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (pow.f64 l #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(.f64 (neg.f64 (pow.f64 l #s(literal 7 binary64))) (-.f64 #s(literal -1/2520 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 l l)) #s(literal 1/60 binary64)) l) l)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/2520 binary64))) (pow.f64 l #s(literal 7 binary64)))

rewrite221.0ms (2.1%)

Memory

-16.9MiB live, 275.7MiB allocated

Rules

5 824×	`lower-fma.f32`
5 812×	`lower-fma.f64`
4 670×	`lower-*.f32`
4 642×	`lower-*.f64`
3 576×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	353
0	89	332
1	315	328
2	2169	328
0	8106	325

Stop Event

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

Counts

25 → 540

Calls

Call 1

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

Outputs
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eval153.0ms (1.4%)

Memory: 15.3MiB live, 311.5MiB allocated
Compiler: Compiled 27 683 to 2 301 computations (91.7% saved)

prune41.0ms (0.4%)

Memory

0.5MiB live, 118.7MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 211	13	1 224
Fresh	5	0	5
Picked	3	2	5
Done	0	0	0
Total	1 219	15	1 234

Accuracy

100.0%

Counts

1 234 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
✓	99.9%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	66.6%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	78.9%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
▶	64.4%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) J U)
	64.3%	(+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(approx (/ 1 (* (sinh l) 2)) (/.f64 #s(literal 1/2 binary64) l))) U)
	99.9%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
▶	86.0%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
✓	64.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
▶	42.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
	44.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
	64.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
	47.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
▶	52.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
	30.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 398 to 374 computations (6% saved)

simplify133.0ms (1.2%)

Memory

-10.9MiB live, 203.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
cost-diff	0	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
cost-diff	0	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) J U)
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) J)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
cost-diff	0	(*.f64 l J)
cost-diff	0	(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff	128	(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
cost-diff	576	(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))
cost-diff	896	(/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))

Rules

10 056×	`lower-fma.f32`
10 038×	`lower-fma.f64`
6 002×	`lower-*.f32`
5 982×	`lower-*.f64`
3 074×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	418
0	105	418
1	196	416
2	446	413
3	1270	408
4	4011	408
0	8585	402

Stop Event

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

Calls

Call 1

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

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

localize733.0ms (6.9%)

Memory

39.1MiB live, 1 009.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	0.03125	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
accuracy	0.0859375	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
accuracy	1.240655643241382	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
accuracy	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy	0.01953125	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) J U)
accuracy	0.06640625	(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
accuracy	1.9984471698646233	#s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
accuracy	0.0390625	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
accuracy	0.04296875	(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
accuracy	1.498658666339642	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
accuracy	18.691459640285885	#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0	(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
accuracy	0	(*.f64 l J)
accuracy	1.498658666339642	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
accuracy	6.256917111110015	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.0078125	(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
accuracy	0.03125	(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
accuracy	0.12890625	(/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))

Samples

530.0ms	114×	5	exit
106.0ms	68×	1	valid
38.0ms	74×	0	valid

Compiler

Compiled 310 to 67 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 566.0ms

ival-cos: 286.0ms (50.5% of total)

ival-mult: 92.0ms (16.3% of total)

adjust: 67.0ms (11.8% of total)

ival-add: 29.0ms (5.1% of total)

ival-exp: 27.0ms (4.8% of total)

ival-div: 25.0ms (4.4% of total)

const: 25.0ms (4.4% of total)

ival-sinh: 8.0ms (1.4% of total)

ival-sub: 4.0ms (0.7% of total)

ival-neg: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series81.0ms (0.8%)

Memory

12.2MiB live, 130.6MiB allocated

Counts

24 → 696

Calls

Call 1

Inputs
#s(alt (/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) (patch (/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (patch (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U) (patch (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (/.f64 (neg.f64 J) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (patch (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) (patch #s(approx (+ ( (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l J) #s(literal 2 binary64) U) (patch (fma.f64 (.f64 l J) #s(literal 2 binary64) U) #<representation binary64>) () ())
#s(alt (.f64 l J) (patch (.f64 l J) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos ( K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) l) J) (patch (.f64 (.f64 #s(literal 2 binary64) l) J) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) l) (patch (.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) J U) (patch (fma.f64 #s(approx ( (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) J U) #<representation binary64>) () ())
#s(alt #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (patch #s(approx ( (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (patch (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (patch #s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) (patch (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (patch (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 K #s(literal -1/2 binary64))) (patch (cos.f64 (.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) (patch (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #<representation binary64>) () ())
#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (patch #s(approx (cos ( K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (patch (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) #<representation binary64>) () ())
#s(alt (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (patch (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	U	@	-inf	((/ (neg J) (/ 1/2 (sinh l))) (/ (cos (* -1/2 K)) -1) (+ (* (/ (cos (* -1/2 K)) -1) (/ (neg J) (/ 1/2 (sinh l)))) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* 2 l) (cos (* K -1/2))) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K -1/2)) (/ 1/2 (sinh l)) (sinh l) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* J (+ (* (* l l) 1/3) 2)))
6.0ms	J	@	-inf	((/ (neg J) (/ 1/2 (sinh l))) (/ (cos (* -1/2 K)) -1) (+ (* (/ (cos (* -1/2 K)) -1) (/ (neg J) (/ 1/2 (sinh l)))) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* 2 l) (cos (* K -1/2))) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K -1/2)) (/ 1/2 (sinh l)) (sinh l) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* J (+ (* (* l l) 1/3) 2)))
5.0ms	l	@	-inf	((/ (neg J) (/ 1/2 (sinh l))) (/ (cos (* -1/2 K)) -1) (+ (* (/ (cos (* -1/2 K)) -1) (/ (neg J) (/ 1/2 (sinh l)))) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* 2 l) (cos (* K -1/2))) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K -1/2)) (/ 1/2 (sinh l)) (sinh l) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* J (+ (* (* l l) 1/3) 2)))
5.0ms	l	@	inf	((/ (neg J) (/ 1/2 (sinh l))) (/ (cos (* -1/2 K)) -1) (+ (* (/ (cos (* -1/2 K)) -1) (/ (neg J) (/ 1/2 (sinh l)))) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* 2 l) (cos (* K -1/2))) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K -1/2)) (/ 1/2 (sinh l)) (sinh l) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* J (+ (* (* l l) 1/3) 2)))
4.0ms	K	@	inf	((/ (neg J) (/ 1/2 (sinh l))) (/ (cos (* -1/2 K)) -1) (+ (* (/ (cos (* -1/2 K)) -1) (/ (neg J) (/ 1/2 (sinh l)))) U) (cos (* -1/2 K)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (* 2 l) (cos (* K -1/2))) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) (cos (* K -1/2)) (/ 1/2 (sinh l)) (sinh l) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* J (+ (* (* l l) 1/3) 2)))

simplify260.0ms (2.4%)

Memory

-30.8MiB live, 288.2MiB allocated

Algorithm

1×	egg-herbie

Rules

21 464×	`lower-fma.f64`
21 464×	`lower-fma.f32`
7 200×	`lower-*.f64`
7 200×	`lower-*.f32`
4 888×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	9007
1	1465	8959
2	4996	8522
0	8197	7980

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 659

Calls

Call 1

Inputs
(* 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) (exp (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))))))
(* 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))))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J 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))))))
(* 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))))))
(* 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))))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
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
(* 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
(* 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
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
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
(* 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
(* 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
(* 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
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
U
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(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ 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))))
(* -1 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (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)))))
(* 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)))))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* J l)
(* J l)
(* J l)
(* J l)
(* 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)))))
(* 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)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ 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 l))
(* l (+ (* -2 J) (* -1/3 (* J (pow l 2)))))
(* l (+ (* -2 J) (* (pow l 2) (+ (* -1/3 J) (* -1/60 (* J (pow l 2)))))))
(* l (+ (* -2 J) (* (pow l 2) (+ (* -1/3 J) (* (pow l 2) (+ (* -1/60 J) (* -1/2520 (* J (pow l 2)))))))))
U
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
U
(+ 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
(+ 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)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* J l)
(* J l)
(* J l)
(* J 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
(+ 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
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
(+ 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 (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
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))))))))
(* 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 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* 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) (exp (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))))))
(* 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))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* J l)
(* J l)
(* J l)
(* J 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))))))
(* 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (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))))))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (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))))
(* 1/3 (* 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 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (- (exp l) (/ 1 (exp l)))))
(* -1 (* 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) (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))))))
(* 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))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* J l)
(* J l)
(* J l)
(* J 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))))))
(* 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))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (cos (* -1/2 K))))
(* 2 (* l (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))))))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (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))))
(* 1/3 (* 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)))))

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

rewrite184.0ms (1.7%)

Memory

23.5MiB live, 212.7MiB allocated

Rules

4 620×	`lower-*.f32`
4 600×	`lower-*.f64`
3 682×	`lower-fma.f32`
3 664×	`lower-fma.f64`
3 520×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	328
0	105	324
1	404	318
2	2934	318
0	8253	312

Stop Event

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

Counts

24 → 397

Calls

Call 1

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

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eval181.0ms (1.7%)

Memory: -28.8MiB live, 332.4MiB allocated
Compiler: Compiled 23 127 to 2 062 computations (91.1% saved)

prune50.0ms (0.5%)

Memory

8.5MiB live, 128.6MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 068	15	1 083
Fresh	4	4	8
Picked	2	3	5
Done	0	2	2
Total	1 074	24	1 098

Accuracy

100.0%

Counts

1 098 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) J)) #s(literal -1 binary64) U)
	64.3%	(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (/.f64 (neg.f64 J) #s(approx (/ 1/2 (sinh l)) (/.f64 #s(literal 1/2 binary64) l))) U)
✓	99.9%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	66.6%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	78.9%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
✓	64.4%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) J U)
	45.9%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))) J U)
	48.4%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* K -1/2))) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64))))) J U)
	64.3%	(+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(approx (/ 1 (* (sinh l) 2)) (/.f64 #s(literal 1/2 binary64) l))) U)
	64.4%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 #s(literal 2 binary64) J))) l U))
	53.8%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	58.7%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	71.0%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
	55.0%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))
✓	64.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
✓	42.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
	29.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
▶	42.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
	44.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
✓	52.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
▶	30.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	54.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	47.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
▶	19.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))

Compiler

Compiled 697 to 617 computations (11.5% saved)

simplify187.0ms (1.7%)

Memory

-4.0MiB live, 183.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 l J) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #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 (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) J)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
cost-diff	0	#s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
cost-diff	1024	(.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
cost-diff	0	(.f64 (.f64 l J) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 K #s(literal -1/2 binary64))
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	320	(fma.f64 (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) J)) #s(literal -1 binary64) U)
cost-diff	1152	(/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) J))

Rules

7 180×	`lower-fma.f32`
7 170×	`lower-fma.f64`
3 814×	`lower-*.f32`
3 794×	`lower-*.f64`
2 760×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	553
0	93	553
1	157	553
2	299	552
3	615	552
4	1507	532
5	3647	532
0	8413	505

Stop Event

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

Calls

Call 1

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

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

localize605.0ms (5.7%)

Memory

-13.2MiB live, 795.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f64 (.f64 l J) #s(literal 2 binary64))
accuracy	0.08203125	(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	1.498658666339642	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	21.983610525290445	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	0.125	(.f64 #s(literal -1/46080 binary64) (.f64 K K))
accuracy	1.498658666339642	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
accuracy	16.43497725127681	#s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K)))
accuracy	18.691459640285885	#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
accuracy	1.3197227379078422	(/.f64 (*.f64 l J) U)
accuracy	1.498658666339642	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
accuracy	2.179698756614292	(.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
accuracy	6.256917111110015	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
accuracy	0.00390625	(.f64 (.f64 l J) #s(literal 2 binary64))
accuracy	1.498658666339642	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
accuracy	6.256917111110015	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64))))
accuracy	21.97559171019625	#s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.0078125	(/.f64 #s(literal -1/2 binary64) (sinh.f64 l))
accuracy	0.109375	(/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) J)
accuracy	0.7561466320417745	(/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) J))

Samples

451.0ms	114×	5	exit
67.0ms	68×	1	valid
35.0ms	74×	0	valid

Compiler

Compiled 316 to 54 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-cos: 200.0ms (43.3% of total)

ival-mult: 105.0ms (22.8% of total)

adjust: 50.0ms (10.8% of total)

const: 25.0ms (5.4% of total)

ival-exp: 21.0ms (4.6% of total)

ival-add: 19.0ms (4.1% of total)

ival-div: 18.0ms (3.9% of total)

ival-sinh: 16.0ms (3.5% of total)

ival-sub: 4.0ms (0.9% of total)

exact: 1.0ms (0.2% of total)

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

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

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

series101.0ms (0.9%)

Memory

-1.8MiB live, 121.4MiB allocated

Counts

26 → 816

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	K	@	-inf	((/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) (+ (* (/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) -1) U) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (* (+ (* (/ (* l J) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (/ (/ -1/2 (sinh l)) J) (/ -1/2 (sinh l)) (sinh l) (/ (* l J) U) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)))
12.0ms	l	@	inf	((/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) (+ (* (/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) -1) U) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (* (+ (* (/ (* l J) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (/ (/ -1/2 (sinh l)) J) (/ -1/2 (sinh l)) (sinh l) (/ (* l J) U) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)))
6.0ms	l	@	-inf	((/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) (+ (* (/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) -1) U) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (* (+ (* (/ (* l J) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (/ (/ -1/2 (sinh l)) J) (/ -1/2 (sinh l)) (sinh l) (/ (* l J) U) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)))
5.0ms	J	@	0	((/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) (+ (* (/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) -1) U) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (* (+ (* (/ (* l J) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (/ (/ -1/2 (sinh l)) J) (/ -1/2 (sinh l)) (sinh l) (/ (* l J) U) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)))
4.0ms	J	@	inf	((/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) (+ (* (/ (cos (* K -1/2)) (/ (/ -1/2 (sinh l)) J)) -1) U) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (* (* l J) 2) (* (+ (* (/ (* l J) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (+ (* (* l J) 2) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* (* l J) 2) (cos (* 1/2 K))) (/ (/ -1/2 (sinh l)) J) (/ -1/2 (sinh l)) (sinh l) (/ (* l J) U) (cos (* K 1/2)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)))

simplify226.0ms (2.1%)

Memory

6.8MiB live, 320.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 560×	`lower-fma.f64`
13 560×	`lower-fma.f32`
6 758×	`lower-*.f64`
6 758×	`lower-*.f32`
4 252×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	9579
1	1070	9576
2	3328	9207
3	7617	9186
0	8200	8661

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 767

Calls

Call 1

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

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

rewrite237.0ms (2.2%)

Memory

25.6MiB live, 172.6MiB allocated

Rules

6 566×	`lower-fma.f32`
6 556×	`lower-fma.f64`
4 550×	`lower-*.f32`
4 530×	`lower-*.f64`
3 672×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	453
0	93	445
1	312	445
2	2069	444
0	8302	423

Stop Event

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

Counts

26 → 324

Calls

Call 1

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

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eval287.0ms (2.7%)

Memory: -0.2MiB live, 240.9MiB allocated
Compiler: Compiled 20 908 to 1 762 computations (91.6% saved)

prune148.0ms (1.4%)

Memory

-1.2MiB live, 150.4MiB allocated

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	1 116	5	1 121
Fresh	2	12	14
Picked	2	3	5
Done	0	5	5
Total	1 120	25	1 145

Accuracy

100.0%

Counts

1 145 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	(fma.f64 (/.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 #s(approx (/ -1/2 (sinh l)) (/.f64 #s(literal -1/2 binary64) l)) J)) #s(literal -1 binary64) U)
	78.8%	(fma.f64 (/.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) J)) #s(literal -1 binary64) U)
✓	99.9%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	66.6%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	78.9%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
✓	64.4%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) J U)
	45.9%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) #s(approx (cos (* K -1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))) J U)
	48.4%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* K -1/2))) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64))))) J U)
	64.3%	(+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(approx (/ 1 (* (sinh l) 2)) (/.f64 #s(literal 1/2 binary64) l))) U)
	64.4%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 #s(literal 2 binary64) J))) l U))
	53.8%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	58.7%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	71.0%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
	55.0%	#s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))
✓	64.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
✓	42.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
✓	42.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
	44.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
✓	52.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
✓	30.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	54.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	58.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (.f64 J (/.f64 l U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	47.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
✓	19.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
	25.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))

Compiler

Compiled 1 083 to 583 computations (46.2% saved)

regimes192.0ms (1.8%)

Memory

-9.5MiB live, 273.1MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

10 calls:

33.0ms	(/.f64 K #s(literal 2 binary64))
27.0ms	U
25.0ms	K
23.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
17.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

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

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes142.0ms (1.3%)

Memory

12.8MiB live, 241.4MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

28.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
17.0ms	J
16.0ms	K
15.0ms	U
13.0ms	(/.f64 K #s(literal 2 binary64))

Results

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

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes132.0ms (1.2%)

Memory

15.3MiB live, 243.2MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

27.0ms	l
18.0ms	U
14.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
12.0ms	(/.f64 K #s(literal 2 binary64))
11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
92.2%	1	`U`
92.2%	1	`J`
95.4%	3	`l`
92.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
93.8%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
95.1%	2	`K`
95.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.1%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes50.0ms (0.5%)

Memory

3.3MiB live, 109.6MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

20.0ms	K
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms	(/.f64 K #s(literal 2 binary64))

Results

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

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes114.0ms (1.1%)

Memory

5.0MiB live, 307.3MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

28.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
11.0ms	J
10.0ms	(/.f64 K #s(literal 2 binary64))
10.0ms	K
10.0ms	U

Results

Accuracy	Segments	Branch
86.0%	1	`J`
87.6%	2	`U`
88.8%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
88.4%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
88.5%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
89.6%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
96.5%	5	`l`
92.4%	2	`K`
92.4%	2	`(/.f64 K #s(literal 2 binary64))`
92.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes36.0ms (0.3%)

Memory

-29.1MiB live, 88.7MiB allocated

Counts

26 → 5

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	K
8.0ms	l
8.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
8.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
96.4%	5	`l`
84.1%	3	`K`
84.1%	3	`(/.f64 K #s(literal 2 binary64))`
88.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes16.0ms (0.1%)

Memory

31.7MiB live, 31.7MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	l
6.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
90.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
88.1%	3	`l`

Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes67.0ms (0.6%)

Memory

-27.0MiB live, 90.4MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

24.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
17.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
10.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
88.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
87.6%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
87.6%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
87.8%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
87.6%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 46 to 51 computations (-10.9% saved)

regimes68.0ms (0.6%)

Memory

-3.7MiB live, 156.2MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
82.0%	3	`K`
82.0%	3	`(/.f64 K #s(literal 2 binary64))`
78.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
78.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
78.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
78.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
78.9%	1	`l`
78.9%	1	`J`
78.9%	1	`U`
82.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes110.0ms (1%)

Memory

-9.5MiB live, 123.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

34.0ms	J
29.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
7.0ms	K
6.0ms	U
6.0ms	l

Results

Accuracy	Segments	Branch
71.0%	1	`J`
74.2%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
71.0%	1	`U`
71.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
71.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
71.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
71.0%	1	`l`
71.0%	1	`K`
71.0%	1	`(/.f64 K #s(literal 2 binary64))`
74.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes5.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
75.9%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes6.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
71.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
75.4%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 12 to 16 computations (-33.3% saved)

regimes29.0ms (0.3%)

Memory

-8.8MiB live, 67.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

5.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	J
2.0ms	U

Results

Accuracy	Segments	Branch
52.5%	1	`K`
59.2%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
52.5%	1	`(/.f64 K #s(literal 2 binary64))`
52.5%	1	`J`
55.7%	3	`U`
59.1%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
59.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
59.2%	3	`l`
59.1%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
56.9%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes11.0ms (0.1%)

Memory

-19.5MiB live, 21.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

5.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	l
2.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
59.1%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
59.0%	3	`l`
59.0%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
59.1%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 28 to 34 computations (-21.4% saved)

regimes11.0ms (0.1%)

Memory

32.1MiB live, 32.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`U`
52.5%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
52.5%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
52.5%	1	`l`
52.5%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
52.5%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
52.5%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes17.0ms (0.2%)

Memory

-29.1MiB live, 46.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
19.3%	1	`U`
19.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
19.3%	1	`l`
19.3%	1	`K`
19.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
19.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
19.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
19.3%	1	`(/.f64 K #s(literal 2 binary64))`
19.3%	1	`J`
19.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.9789595586525767e-29	2.8892760661076474e-24

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.9789595586525767e-29	2.8892760661076474e-24

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8137080442536758	0.8570859265827392

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0536313993963966	0.10031983215001891

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch125.0ms (1.2%)

Memory

5.8MiB live, 162.1MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	1.533242385681279e+99	2.4385077807195093e+104
19.0ms	2.622052106155394e-5	0.009281865891832854
39.0ms	-0.00035572538359649613	-2.6069120752399186e-8
24.0ms	-1.4315902361088302e+108	-1.9779464148372202e+96

Samples

79.0ms

560×

valid

Compiler

Compiled 883 to 972 computations (-10.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-exp: 30.0ms (47.5% of total)

ival-cos: 14.0ms (22.2% of total)

ival-mult: 7.0ms (11.1% of total)

ival-div: 3.0ms (4.7% of total)

ival-sub: 3.0ms (4.7% of total)

ival-add: 2.0ms (3.2% of total)

ival-neg: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.61654569413184e+93	4.319174754138827e+193
0.0ms	-inf	-1.4753527067361993e+285

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0536313993963966	0.10031983215001891

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08656692361352669	-0.057783678959360596

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08656692361352669	-0.057783678959360596

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.08656692361352669	-0.057783678959360596
0.0ms	-0.9014014023762129	-0.8885068298643809

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.08656692361352669	-0.057783678959360596
0.0ms	-0.7689808973616726	-0.7681499480730355

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.662800218904709e+89	4.319174754138827e+193
0.0ms	-9.563545972730748e+72	-2.2425838683284728e-291

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.662800218904709e+89	4.319174754138827e+193
0.0ms	-9.563545972730748e+72	-2.2425838683284728e-291

Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify35.0ms (0.3%)

Memory

-15.6MiB live, 66.4MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`-commutative-binary64-.f64`
12×	`+-commutative-binary64-+.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1327
1	225	1327
2	230	1327
3	233	1327
4	234	1327

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 l #s(literal -2200000000000000073839738285986401121428616020538340038600028843747314954913732028157049100992669286400 binary64)) #s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (if (<=.f64 l #s(literal -1770887431076117/36893488147419103232 binary64)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 l #s(literal 8264141345021879/73786976294838206464 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) (if (<=.f64 l #s(literal 7500000000000000014367563143010015521619663454488940083646026359495344931529915669709271088311352426496 binary64)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #s(approx (+ (/ ( (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))))))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/18014398509481984 binary64)) #s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/18014398509481984 binary64)) #s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #s(approx (+ (/ ( (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/18014398509481984 binary64)) (fma.f64 #s(approx ( (cos (* K -1/2)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* K -1/2))) (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64))))) J U) #s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1730508156817113/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/18014398509481984 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) #s(approx (+ (* (* (cos (* K -1/2)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))

Outputs
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 8920298079412249/178405961588244985132285746181186892047843328 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 l))) J U) (+.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)) U))
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(if (<=.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -4999999999999999915168483974806628990154540120342328160919227099783364608 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (.f64 J l))))) (if (<=.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 J l) #s(literal 2 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (* (* (* l J) 2) (cos (* 1/2 K))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 J l)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))

soundness1.6s (14.6%)

Memory

29.6MiB live, 1 223.5MiB allocated

Rules

21 464×	`lower-fma.f64`
21 464×	`lower-fma.f32`
16 158×	`lower-fma.f64`
16 158×	`lower-fma.f32`
15 182×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	336	9579
1	1070	9576
2	3328	9207
3	7617	9186
0	8200	8661
0	453	9007
1	1465	8959
2	4996	8522
0	8197	7980
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37
0	145	1758
1	453	1758
2	1465	1648
3	3571	1648
0	8160	1568
0	394	8583
1	1266	8547
2	3871	8071
0	8218	7675

Stop Event

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

Compiler

Compiled 1 216 to 789 computations (35.1% saved)

preprocess182.0ms (1.7%)

Memory: 13.3MiB live, 275.5MiB allocated
Remove: (abs K)
Compiler: Compiled 1 436 to 420 computations (70.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.0s (18.4%)

explain246.0ms (2.3%)

preprocess91.0ms (0.9%)

eval0.0ms (0%)

prune6.0ms (0.1%)

simplify52.0ms (0.5%)

localize109.0ms (1%)

series25.0ms (0.2%)

simplify168.0ms (1.6%)

rewrite155.0ms (1.5%)

eval48.0ms (0.5%)

prune15.0ms (0.1%)

simplify126.0ms (1.2%)

localize637.0ms (6%)

series92.0ms (0.9%)

simplify205.0ms (1.9%)

rewrite221.0ms (2.1%)

eval153.0ms (1.4%)

prune41.0ms (0.4%)

simplify133.0ms (1.2%)

localize733.0ms (6.9%)

series81.0ms (0.8%)

simplify260.0ms (2.4%)

rewrite184.0ms (1.7%)

eval181.0ms (1.7%)

prune50.0ms (0.5%)

simplify187.0ms (1.7%)

localize605.0ms (5.7%)

series101.0ms (0.9%)

simplify226.0ms (2.1%)

rewrite237.0ms (2.2%)

eval287.0ms (2.7%)

prune148.0ms (1.4%)

regimes192.0ms (1.8%)

regimes142.0ms (1.3%)

regimes132.0ms (1.2%)

regimes50.0ms (0.5%)

regimes114.0ms (1.1%)

regimes36.0ms (0.3%)

regimes16.0ms (0.1%)

regimes67.0ms (0.6%)

regimes68.0ms (0.6%)

regimes110.0ms (1%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

regimes29.0ms (0.3%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch125.0ms (1.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify35.0ms (0.3%)

soundness1.6s (14.6%)

preprocess182.0ms (1.7%)

end0.0ms (0%)

Profiling