Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.9s (17.3%)

Memory

21.4MiB live, 2 654.2MiB allocated

Samples

796.0ms	6 388×	0	valid
734.0ms	1 868×	1	valid

Precisions

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

ival-exp: 450.0ms (35.7% of total)

ival-cos: 334.0ms (26.5% of total)

ival-sub: 163.0ms (12.9% of total)

ival-mult: 125.0ms (9.9% of total)

ival-div: 50.0ms (4% of total)

adjust: 48.0ms (3.8% of total)

ival-add: 46.0ms (3.6% of total)

ival-neg: 33.0ms (2.6% of total)

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

exact: 5.0ms (0.4% of total)

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

Bogosity

explain243.0ms (2.3%)

Memory

-6.3MiB live, 315.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
111	0	-	-	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	-	`K`
0	0	-	-	`(neg.f64 l)`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	135	(-1.0770738935785341e+130 -1.4873036554839492e-165 -2.5258376452016906e+43 -1.0300753580443332e-194)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
0	0	-	-	`J`
0	0	-	-	`U`
0	0	-	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`l`
0	0	-	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	135	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	39	0

Confusion

	Predicted +	Predicted -
+	34	0
-	121	101

Precision

0.21935483870967742

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	121	0	101

Precision?

0.21935483870967742

Recall?

1.0

Freqs

test

number	freq
0	101
1	136
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms	176×	1	valid
35.0ms	302×	0	valid
17.0ms	34×	2	valid

Compiler

Compiled 210 to 70 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-exp: 38.0ms (44.3% of total)

ival-cos: 18.0ms (21% of total)

ival-mult: 8.0ms (9.3% of total)

adjust: 5.0ms (5.8% of total)

ival-sub: 4.0ms (4.7% of total)

ival-div: 4.0ms (4.7% of total)

ival-neg: 4.0ms (4.7% of total)

ival-add: 3.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess93.0ms (0.9%)

Memory

-8.8MiB live, 69.6MiB 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 19 to 14 computations (26.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.2%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify55.0ms (0.5%)

Memory

8.2MiB live, 45.5MiB 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

localize75.0ms (0.7%)

Memory

12.4MiB live, 91.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.00390625	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.08041000976844202	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	25.406602283304938	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

31.0ms	88×	1	valid
25.0ms	151×	0	valid
8.0ms	17×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-exp: 22.0ms (43.6% of total)

ival-cos: 8.0ms (15.8% of total)

ival-div: 7.0ms (13.9% of total)

adjust: 4.0ms (7.9% of total)

ival-mult: 4.0ms (7.9% of total)

ival-sub: 2.0ms (4% of total)

ival-add: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

-6.9MiB live, 31.1MiB 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
37.0ms	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)))

simplify162.0ms (1.5%)

Memory

22.6MiB live, 206.8MiB 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 (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) (fma.f64 (.f64 (.f64 (.f64 (.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (.f64 K K) 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 (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) (.f64 (.f64 (.f64 (.f64 (.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K)))
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 (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 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 (.f64 (.f64 l l) (.f64 l l)) (.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)))))
(.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(.f64 (fma.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64))) (.f64 l l) (.f64 #s(literal 1/3 binary64) J)) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) 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)))

rewrite168.0ms (1.6%)

Memory

-12.4MiB live, 225.1MiB 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
(.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 U U) U))) (fma.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U)))
(.f64 (/.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U))) (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(.f64 (neg.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)))))
(.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)) (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U))))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)) (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)))))
(.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U))))
(.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
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(/.f64 (-.f64 (pow.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (fma.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (fma.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))) #s(literal 2 binary64)) (cosh.f64 l))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))))) (neg.f64 (.f64 #s(literal -2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(/.f64 (.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (exp.f64 (fma.f64 l #s(literal -2 binary64) (.f64 l #s(literal -2 binary64))))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (exp.f64 (+.f64 l l))) (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (exp.f64 (fma.f64 l #s(literal -2 binary64) (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l)))) (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (exp.f64 (.f64 #s(literal 3 binary64) l))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 l l)) (.f64 (cosh.f64 l) #s(literal 2 binary64))) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (cosh.f64 l) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (exp.f64 (fma.f64 l #s(literal -2 binary64) (.f64 l #s(literal -2 binary64))))) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (+.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (exp.f64 (+.f64 l l)))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (+.f64 (+.f64 (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 l l) #s(literal 3 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64)))) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (+.f64 (+.f64 (exp.f64 (fma.f64 l #s(literal -2 binary64) (.f64 l #s(literal -2 binary64)))) #s(literal 1 binary64)) (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (+.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (exp.f64 (*.f64 #s(literal 3 binary64) l)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64))))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (-.f64 (exp.f64 (+.f64 l l)) #s(literal -1 binary64))))
(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64)))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 (cosh.f64 l) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64))))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (.f64 #s(literal -2 binary64) (cosh.f64 l))))
(neg.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (exp.f64 (.f64 l #s(literal -3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (pow.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (pow.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))))) (+.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 (+.f64 l l)) #s(literal 1 binary64) #s(literal 1 binary64))) (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (/.f64 (exp.f64 (+.f64 l l)) (+.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (exp.f64 (.f64 #s(literal 3 binary64) l)))) (+.f64 (expm1.f64 (.f64 l #s(literal -2 binary64))) (exp.f64 (+.f64 l l))) (neg.f64 (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (/.f64 (exp.f64 (+.f64 l l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 (sinh.f64 l) #s(literal 2 binary64)) (neg.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 l) (cosh.f64 l)) (neg.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (exp.f64 (.f64 l #s(literal 3/2 binary64))) (/.f64 (exp.f64 (.f64 l #s(literal 3/2 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 l)) (exp.f64 l))
(fma.f64 (exp.f64 (+.f64 l l)) (/.f64 (exp.f64 l) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (neg.f64 (.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 l))) (exp.f64 l))
(fma.f64 #s(literal 1 binary64) (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(fma.f64 (exp.f64 (neg.f64 l)) #s(literal -1 binary64) (exp.f64 l))
(fma.f64 (exp.f64 l) (/.f64 (exp.f64 (+.f64 l l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(fma.f64 (exp.f64 l) (/.f64 (exp.f64 l) (.f64 (cosh.f64 l) #s(literal 2 binary64))) (neg.f64 (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (exp.f64 l) #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 l))))
(-.f64 (+.f64 (exp.f64 l) #s(literal 0 binary64)) (exp.f64 (neg.f64 l)))
(-.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(-.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (neg.f64 (.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(+.f64 (/.f64 (exp.f64 (.f64 #s(literal 3 binary64) l)) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l)))) (neg.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))
(+.f64 (neg.f64 (exp.f64 (neg.f64 l))) (exp.f64 l))
(+.f64 (exp.f64 l) (neg.f64 (exp.f64 (neg.f64 l))))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))

eval48.0ms (0.4%)

Memory: 4.6MiB live, 110.6MiB allocated
Compiler: Compiled 11 168 to 1 133 computations (89.9% saved)

prune76.0ms (0.7%)

Memory

12.4MiB live, 166.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

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

Accuracy

100.0%

Counts

393 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	44.1%	(+.f64 (.f64 (.f64 J (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	92.1%	(+.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)
	90.2%	(+.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)
▶	87.5%	(+.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)
	89.9%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64))) (.f64 l l) (.f64 #s(literal 1/3 binary64) J)) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	88.3%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	84.2%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	84.2%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)
	73.8%	#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))
▶	61.8%	#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))
	84.2%	#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 600 to 368 computations (38.7% saved)

simplify108.0ms (1%)

Memory

13.0MiB live, 170.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

8 380×	`lower-fma.f32`
8 370×	`lower-fma.f64`
4 256×	`lower-*.f32`
4 222×	`lower-*.f64`
1 666×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	482
0	87	482
1	163	477
2	359	477
3	855	457
4	1761	457
5	3108	457
0	8504	449

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

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

localize349.0ms (3.3%)

Memory

-23.0MiB live, 318.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08041000976844202	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.28881997826133543	(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy	3.741514185127082	(.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)))
accuracy	7.640359455748117	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l))
accuracy	0.05078125	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy	0.08041000976844202	(.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	0.109375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	11.005345516113628	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0.109375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	0.109375	(.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	3.5831577008169564	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	11.052687428509117	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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))
accuracy	0	(*.f64 #s(literal 2 binary64) l)
accuracy	0.00390625	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.0859375	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
accuracy	24.446564033012727	#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	0.00390625	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy	0.01171875	(sinh.f64 l)
accuracy	0.015625	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.046875	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))

Samples

135.0ms	88×	1	valid
59.0ms	151×	0	valid
20.0ms	17×	2	valid

Compiler

Compiled 364 to 47 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-mult: 83.0ms (54% of total)

ival-exp: 20.0ms (13% of total)

ival-cos: 20.0ms (13% of total)

ival-add: 9.0ms (5.9% of total)

adjust: 8.0ms (5.2% of total)

const: 8.0ms (5.2% of total)

ival-sub: 2.0ms (1.3% of total)

ival-div: 2.0ms (1.3% of total)

ival-sinh: 2.0ms (1.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series105.0ms (1%)

Memory

19.9MiB live, 168.7MiB allocated

Counts

27 → 744

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

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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 (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* 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)))) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))
9.0ms	l	@	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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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 (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* 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)))) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))
9.0ms	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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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 (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* 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)))) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))
8.0ms	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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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 (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* 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)))) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))
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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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 (+ (* 1/60 (* l l)) 1/3)) (* l l)) (* 2 J)) (+ (* (* 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)))) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (* J (+ (* 1/60 (* l l)) 1/3)) (+ (* 1/60 (* l l)) 1/3))

simplify223.0ms (2.1%)

Memory

1.6MiB live, 275.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 246×	`lower-fma.f64`
18 246×	`lower-fma.f32`
7 018×	`lower-*.f64`
7 018×	`lower-*.f32`
4 248×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	10170
1	1337	10068
2	4547	9498
0	8168	8962

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 719

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

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

rewrite225.0ms (2.1%)

Memory

-0.0MiB live, 278.2MiB allocated

Rules

5 550×	`lower-fma.f32`
5 540×	`lower-fma.f64`
5 328×	`lower-*.f32`
5 294×	`lower-*.f64`
3 626×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	387
0	87	367
1	299	363
2	1927	363
0	8380	356

Stop Event

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

Counts

27 → 460

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 (.f64 U U) U (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 U U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (fma.f64 (/.f64 (.f64 U U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 U U) U (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (fma.f64 (.f64 U U) (.f64 U U) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 J U)) #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)) (.f64 (.f64 U U) U)) (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 9 binary64)) (.f64 (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U)) (.f64 (.f64 U U) U))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (-.f64 (.f64 (.f64 (.f64 U U) U) (.f64 (.f64 U U) U)) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 J U)) #s(literal 3 binary64)))) (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) #s(literal 1/180 binary64)))) (fma.f64 (.f64 #s(literal 1/216000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/27 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/216000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/216000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) #s(literal 1/180 binary64)))) (fma.f64 (.f64 #s(literal 1/216000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 #s(literal 1/60 binary64) l) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (.f64 l l)))) (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (.f64 l l)))))
(-.f64 (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal -1/3 binary64))))
(+.f64 (.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (.f64 l l)))

eval446.0ms (4.2%)

Memory: -207.5MiB live, 300.9MiB allocated
Compiler: Compiled 36 956 to 2 618 computations (92.9% saved)

prune138.0ms (1.3%)

Memory

20.4MiB live, 291.7MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1 223	14	1 237
Fresh	7	0	7
Picked	5	0	5
Done	0	0	0
Total	1 235	14	1 249

Accuracy

100.0%

Counts

1 249 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	61.8%	(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)
	60.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	59.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
▶	66.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U)
▶	45.4%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
	69.4%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
	60.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 (*.f64 l l) l)))) U)
	48.5%	#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))
	49.6%	#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(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
▶	43.4%	#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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
	49.0%	#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) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
▶	50.9%	#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)))
	31.1%	#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 624 to 368 computations (41% saved)

simplify160.0ms (1.5%)

Memory

30.8MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K)))))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
cost-diff	1344	(fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K)))
cost-diff	0	(.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
cost-diff	640	(fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
cost-diff	0	#s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
cost-diff	0	(.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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	(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff	0	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Rules

9 666×	`lower-fma.f32`
9 652×	`lower-fma.f64`
7 046×	`lower-*.f32`
7 022×	`lower-*.f64`
3 824×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	684
0	96	684
1	200	678
2	569	646
3	2184	634
4	5089	634
5	6417	634
0	8331	618

Stop Event

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

Calls

Call 1

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

localize224.0ms (2.1%)

Memory

-38.6MiB live, 332.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.253176791069009	(.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)))
accuracy	7.760895268951549	(.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))
accuracy	11.052687428509117	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K)))))
accuracy	25.661486420286288	#s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))
accuracy	4.175758544132265	(fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
accuracy	5.756121667111454	(.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
accuracy	24.446564033012727	#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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
accuracy	26.747206894789944	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
accuracy	0.109375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	3.5831577008169564	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
accuracy	11.052687428509117	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l))
accuracy	26.635983285522993	#s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
accuracy	0	(*.f64 l J)
accuracy	0.0078125	(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
accuracy	13.614623369517629	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
accuracy	24.446564033012727	#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	0.01171875	(sinh.f64 l)
accuracy	0.015625	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.046875	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy	30.501249031189207	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

82.0ms	90×	1	valid
73.0ms	155×	0	valid
12.0ms	11×	2	valid

Compiler

Compiled 428 to 61 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 48.0ms (37.9% of total)

ival-cos: 19.0ms (15% of total)

ival-exp: 18.0ms (14.2% of total)

ival-add: 14.0ms (11.1% of total)

const: 10.0ms (7.9% of total)

adjust: 9.0ms (7.1% of total)

ival-sub: 2.0ms (1.6% of total)

ival-neg: 2.0ms (1.6% of total)

ival-div: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

ival-sinh: 1.0ms (0.8% of total)

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

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

series284.0ms (2.6%)

Memory

30.2MiB live, 184.0MiB allocated

Counts

25 → 864

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) (patch (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (patch #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sinh.f64 l) #s(literal 2 binary64)) (patch (.f64 (sinh.f64 l) #s(literal 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) (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 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) #<representation binary64>) () ())
#s(alt #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) (patch #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l) (patch (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l) #<representation binary64>) () ())
#s(alt #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) (patch #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) (patch (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 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) (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ ( (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (patch (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K))) (patch (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K))) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K))))) U) (patch (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U) #<representation binary64>) () ())
#s(alt #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K))))) (patch #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K)))) (patch #s(approx ( (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K)))) #<representation binary64>) () ())
#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (patch (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K)) (patch (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (patch (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 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) #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 (+ 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* 2 (* J (* l (cos (* 1/2 K))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 U) (#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 (* 2 (* J l)) (taylor 0 U) (#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 (+ U (* 2 (* J l))) (taylor 0 U) (#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 (+ U (* 2 (* J l))) (taylor 0 U) (#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 (+ U (* 2 (* J l))) (taylor 0 U) (#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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor 0 U) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) (patch (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) (patch (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) (patch (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) (patch (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 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) (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #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 #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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #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 #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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #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 #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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 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) (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ ( (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (- (exp l) (/ 1 (exp l)))) (taylor -inf l) (#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (* J (* (pow K 2) (* (pow l 3) (- (* 1/384 (pow K 2)) 1/8))))) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K)) (patch (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (- (* 1/384 (pow K 2)) 1/8)) (pow l 2))) (* -1/3 (* J (- (* 1/384 (pow K 2)) 1/8)))))) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (patch (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) #<representation binary64>) () ())) ())
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Calls

12 calls:

Time	Variable		Point	Expression
149.0ms	l	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* l J) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* l J) (+ (* (* K K) 1/192) -1/4)) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (sinh l) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* l l) 1/3) 2) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)))
7.0ms	l	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* l J) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* l J) (+ (* (* K K) 1/192) -1/4)) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (sinh l) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* l l) 1/3) 2) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)))
7.0ms	l	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* l J) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* l J) (+ (* (* K K) 1/192) -1/4)) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (sinh l) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* l l) 1/3) 2) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)))
7.0ms	J	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* l J) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* l J) (+ (* (* K K) 1/192) -1/4)) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (sinh l) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* l l) 1/3) 2) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)))
7.0ms	J	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* (* l J) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* (* l J) (+ (* (* K K) 1/192) -1/4)) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (sinh l) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* l l) 1/3) 2) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)))

simplify259.0ms (2.4%)

Memory

7.1MiB live, 323.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 278×	`lower-fma.f64`
16 278×	`lower-fma.f32`
9 300×	`lower-*.f64`
9 300×	`lower-*.f32`
2 686×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	14590
1	1815	14292
2	6524	14262
0	8291	13238

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 827

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

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

rewrite274.0ms (2.5%)

Memory

13.0MiB live, 288.2MiB allocated

Rules

6 658×	`lower-fma.f32`
6 644×	`lower-fma.f64`
5 152×	`lower-*.f32`
5 128×	`lower-*.f64`
3 066×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	590
0	96	578
1	361	572
2	2594	572
0	8645	560

Stop Event

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

Counts

25 → 475

Calls

Call 1

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

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

eval251.0ms (2.3%)

Memory: 10.0MiB live, 349.5MiB allocated
Compiler: Compiled 48 999 to 2 468 computations (95% saved)

prune206.0ms (1.9%)

Memory

-5.0MiB live, 387.7MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 529	16	1 545
Fresh	4	5	9
Picked	3	2	5
Done	0	0	0
Total	1 536	23	1 559

Accuracy

100.0%

Counts

1 559 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.6%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
▶	72.9%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
	71.3%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
	61.8%	(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)
	59.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	33.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
	66.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
▶	60.3%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
	60.3%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
▶	35.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
	69.4%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
	43.4%	#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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
	49.0%	#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) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
✓	50.9%	#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)))
▶	47.0%	#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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U))))
	10.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
	31.1%	#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)))))
	70.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
	17.6%	#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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) l)))))
	54.5%	#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))))
	47.9%	#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))))
	42.1%	#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 #s(literal 2 binary64) J (/.f64 U l)) l))))
▶	20.4%	#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 940 to 533 computations (43.3% saved)

simplify169.0ms (1.6%)

Memory

8.7MiB live, 184.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)))
cost-diff	0	#s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)))))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
cost-diff	0	(.f64 #s(literal -1/4 binary64) (.f64 (*.f64 K K) l))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U))))
cost-diff	640	(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U))
cost-diff	0	#s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J))
cost-diff	0	(.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) 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	#s(approx (* (sinh 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))
cost-diff	0	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
cost-diff	0	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)

Rules

11 178×	`lower-fma.f32`
11 162×	`lower-fma.f64`
6 484×	`lower-*.f32`
6 450×	`lower-*.f64`
3 662×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	943
0	125	943
1	238	943
2	600	937
3	2120	925
4	4878	925
5	5165	925
6	5575	925
7	6903	925
0	8069	908

Stop Event

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

Calls

Call 1

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

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

localize256.0ms (2.4%)

Memory

13.7MiB live, 401.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.739868639825765	(.f64 (.f64 (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K)
accuracy	11.052687428509117	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)))))
accuracy	25.661486420286288	#s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))
accuracy	32.99606464610353	#s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))
accuracy	5.788009649344014	(.f64 (.f64 K K) l)
accuracy	9.870880175448683	(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U))
accuracy	24.284473039129892	#s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U)))
accuracy	24.446564033012727	#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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U))))
accuracy	3.5831577008169564	(.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)
accuracy	11.052687428509117	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l))
accuracy	26.635983285522993	#s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J))
accuracy	27.239136872188396	#s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64)))
accuracy	0.0078125	(.f64 (.f64 l J) #s(literal 2 binary64))
accuracy	13.614623369517629	#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	24.446564033012727	#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	31.399258563859938	#s(approx (+ (* (* l J) 2) U) (.f64 (.f64 l J) #s(literal 2 binary64)))
accuracy	0.05859375	(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	0.5107128063968358	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	5.908216620484428	#s(approx (* (sinh 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))
accuracy	30.501249031189207	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

112.0ms	90×	1	valid
82.0ms	155×	0	valid
15.0ms	11×	2	valid

Compiler

Compiled 502 to 71 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 61.0ms (36.9% of total)

ival-cos: 27.0ms (16.3% of total)

const: 23.0ms (13.9% of total)

ival-exp: 22.0ms (13.3% of total)

ival-add: 15.0ms (9.1% of total)

adjust: 11.0ms (6.6% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

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

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

series144.0ms (1.3%)

Memory

-29.3MiB live, 216.4MiB allocated

Counts

27 → 888

Calls

Call 1

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

Outputs
#s(alt (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U) (patch (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) 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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U) (patch (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) 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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U) (patch (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) 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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U) (patch (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) 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) #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>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 U) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) #<representation binary64>) () ())) ())
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#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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) 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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 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 inf K) (#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 (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor inf K) (#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>) () ())) ())
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#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor inf K) (#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 (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) (patch #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) (patch #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) (patch #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) (patch #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) #<representation binary64>) () ())) ())
#s(alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (taylor inf K) (#s(alt (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l) (patch (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (taylor inf K) (#s(alt (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l) (patch (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (taylor inf K) (#s(alt (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l) (patch (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (taylor inf K) (#s(alt (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l) (patch (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf K) (#s(alt #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) (patch #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf K) (#s(alt #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) (patch #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf K) (#s(alt #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) (patch #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (taylor inf K) (#s(alt #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) (patch #s(approx (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (* J (* (pow K 2) l))) (taylor inf K) (#s(alt (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) (patch (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U)) #<representation binary64>) () ())) ())
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#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U)))) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf K) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U)))) #<representation binary64>) () ())) ())
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#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U)))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt #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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U)))) #<representation binary64>) () ())) ())
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#s(alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J))) (taylor inf J) (#s(alt #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) (patch #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U))) #<representation binary64>) () ())) ())
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#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U) (patch (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (+ (* -1/3 J) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))) (patch (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))) #<representation binary64>) () ())) ())
#s(alt (* 1/2520 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (patch (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #<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 (* 1/3 (pow l 2)) (taylor -inf l) (#s(alt #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) (patch #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) (patch #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) (patch #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) (patch #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* J (pow l 2))) (taylor -inf l) (#s(alt (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J) (patch (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J) (patch (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J) (patch (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) (taylor -inf l) (#s(alt (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J) (patch (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) l) (taylor -inf l) (#s(alt (.f64 (.f64 K K) l) (patch (.f64 (.f64 K K) l) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) l) (taylor -inf l) (#s(alt (.f64 (.f64 K K) l) (patch (.f64 (.f64 K K) l) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) l) (taylor -inf l) (#s(alt (.f64 (.f64 K K) l) (patch (.f64 (.f64 K K) l) #<representation binary64>) () ())) ())
#s(alt (* (pow K 2) l) (taylor -inf l) (#s(alt (.f64 (.f64 K K) l) (patch (.f64 (.f64 K K) l) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (* J (* (pow K 2) (* (pow l 3) (- (* 1/384 (pow K 2)) 1/8))))) (taylor -inf l) (#s(alt #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)) (patch #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))) (taylor -inf l) (#s(alt #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)) (patch #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))) (taylor -inf l) (#s(alt #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)) (patch #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))))))) (taylor -inf l) (#s(alt #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)) (patch #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K)) #<representation binary64>) () ())) ())
#s(alt (* -1/24 (* J (* K (pow l 3)))) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) (patch (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (pow l 2)))))) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) (patch (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (pow l 2)))))) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) (patch (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (pow l 2)))))) (taylor -inf l) (#s(alt (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) (patch (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	K	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* -1/4 (* (* K K) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) J) (* (* K K) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K))
6.0ms	K	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* -1/4 (* (* K K) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) J) (* (* K K) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K))
6.0ms	l	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* -1/4 (* (* K K) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) J) (* (* K K) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K))
6.0ms	l	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* -1/4 (* (* K K) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) J) (* (* K K) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K))
6.0ms	J	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 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) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (* -1/4 (* (* K K) l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) J) (* (* K K) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K))

simplify201.0ms (1.9%)

Memory

22.1MiB live, 250.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 582×	`lower-fma.f64`
14 582×	`lower-fma.f32`
9 086×	`lower-*.f64`
9 086×	`lower-*.f32`
2 746×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	511	14226
1	1744	14038
2	6352	12762
0	8651	11955

Stop Event

1×	iter limit
1×	node limit

Counts

888 → 852

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))))))
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(* -1/24 (* J (* K (pow l 3))))
(* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (pow l 2))))))
(* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (pow l 2))))))
(* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (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))))))
(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)
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #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)
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 (* 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 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(.f64 (fma.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal -1/4 binary64) (.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(.f64 (fma.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal -1/4 binary64) (.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(.f64 (fma.f64 J (fma.f64 (/.f64 (.f64 (.f64 K K) l) U) #s(literal -1/4 binary64) (.f64 (/.f64 l 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))))
(.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
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (neg.f64 U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 l J) U) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 l J) U) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 l J) U) #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) U)))
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) U)))
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
U
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(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* 1/2 K)))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 (*.f64 l l) l))
(* -1 (* (pow l 3) (+ (* -1/3 J) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(.f64 (.f64 (.f64 (.f64 l l) l) #s(literal 1/3 binary64)) (.f64 (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))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (+ (* -1/3 J) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))))
(.f64 (.f64 (.f64 l l) (neg.f64 l)) (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) K) K) (/.f64 J (.f64 l l)) (/.f64 J (.f64 l l))) (.f64 (.f64 (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) #s(literal -1/3 binary64))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (+ (* -1/3 J) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))))
(.f64 (.f64 (.f64 l l) (neg.f64 l)) (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) K) K) (/.f64 J (.f64 l l)) (/.f64 J (.f64 l l))) (.f64 (.f64 (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) #s(literal -1/3 binary64))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (+ (* -1/3 J) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))))
(.f64 (.f64 (.f64 l l) (neg.f64 l)) (fma.f64 #s(literal -2 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) K) K) (/.f64 J (.f64 l l)) (/.f64 J (.f64 l l))) (.f64 (.f64 (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) #s(literal -1/3 binary64))))
(* 1/2520 (pow l 2))
(.f64 #s(literal 1/2520 binary64) (.f64 l l))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* 1/2520 (pow l 4))
(.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/2520 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) (.f64 (.f64 l l) (.f64 l l))) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) #s(literal 1/2520 binary64)) (.f64 (.f64 l l) (.f64 l l)))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 l l))) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) #s(literal 1/2520 binary64)) (.f64 (.f64 l l) (.f64 l l)))
(* 1/3 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 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)
(* (pow K 2) l)
(.f64 (.f64 K K) l)
(* (pow K 2) l)
(.f64 (.f64 K K) l)
(* (pow K 2) l)
(.f64 (.f64 K K) l)
(* (pow K 2) l)
(.f64 (.f64 K K) l)
(* 1/3 (* J (* (pow K 2) (* (pow l 3) (- (* 1/384 (pow K 2)) 1/8)))))
(.f64 (.f64 l (.f64 #s(literal 1/3 binary64) J)) (.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) l) l) K) K))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(.f64 (.f64 (.f64 (.f64 J (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 (*.f64 l l) l))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(.f64 (.f64 (.f64 (.f64 J (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 (*.f64 l l) l))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8))) (pow l 2))) (* -1/3 (* J (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))))
(.f64 (.f64 (.f64 (.f64 J (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 (*.f64 l l) l))
(* -1/24 (* J (* K (pow l 3))))
(.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))
(* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (pow l 2))))))
(.f64 (.f64 (.f64 K J) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 l l)))) (.f64 (.f64 l l) l))
(* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (pow l 2))))))
(.f64 (.f64 (.f64 K J) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 l l)))) (.f64 (.f64 l l) l))
(* -1 (* (pow l 3) (+ (* 1/24 (* J K)) (* 1/4 (/ (* J K) (pow l 2))))))
(.f64 (.f64 (.f64 K J) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 l l)))) (.f64 (.f64 l l) l))

rewrite244.0ms (2.3%)

Memory

9.5MiB live, 285.7MiB allocated

Rules

6 454×	`lower-fma.f32`
6 438×	`lower-fma.f64`
5 262×	`lower-*.f32`
5 228×	`lower-*.f64`
3 428×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	792
0	125	780
1	420	780
2	2790	780
0	9214	763

Stop Event

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

Counts

27 → 260

Calls

Call 1

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

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

eval348.0ms (3.2%)

Memory: -44.8MiB live, 258.2MiB allocated
Compiler: Compiled 32 191 to 1 359 computations (95.8% saved)

prune366.0ms (3.4%)

Memory

-6.7MiB live, 154.1MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 096	16	1 112
Fresh	4	12	16
Picked	3	2	5
Done	0	2	2
Total	1 103	32	1 135

Accuracy

100.0%

Counts

1 135 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.8%	(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
✓	79.6%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	43.6%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
	53.3%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
	71.3%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	51.6%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	72.9%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
	61.8%	(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)
	59.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	66.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
✓	60.3%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
	60.3%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
	43.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) l))) l)) U)
	40.1%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
	50.4%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
	69.4%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
	50.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
	20.6%	(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
	47.8%	#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 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 l J) #s(literal 2 binary64) U))))
✓	50.9%	#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)))
	45.5%	#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 J (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (fma.f64 (.f64 J l) #s(literal 2 binary64) U))))
	10.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
	31.1%	#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)))))
	70.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
	17.6%	#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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) l)))))
	54.5%	#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))))
	47.9%	#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))))
	42.1%	#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 #s(literal 2 binary64) J (/.f64 U l)) l))))
✓	20.4%	#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)))))
	20.4%	#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 #s(literal 2 binary64)) l))))
	15.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64)))))
	27.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) #s(approx (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))

Compiler

Compiled 2 001 to 710 computations (64.5% saved)

regimes195.0ms (1.8%)

Memory

15.6MiB live, 283.7MiB allocated

Counts

59 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J 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))
(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 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (.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 (.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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 (*.f64 l l) l)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) 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)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64))) (.f64 l l) (.f64 #s(literal 1/3 binary64) J)) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) 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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 (+.f64 (-.f64 (exp.f64 (.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))) (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 l #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 (+.f64 l l))))))) (cos.f64 (/.f64 K #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:

34.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
20.0ms	U
19.0ms	l
19.0ms	K
17.0ms	(+.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
100.0%	1	`J`
100.0%	1	`l`
100.0%	1	`K`
100.0%	1	`U`
100.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
100.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
100.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
100.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
100.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
100.0%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes172.0ms (1.6%)

Memory

25.6MiB live, 310.3MiB allocated

Counts

56 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J 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))
(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 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (.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 (.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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 (*.f64 l l) l)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) 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)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64))) (.f64 l l) (.f64 #s(literal 1/3 binary64) J)) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) 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

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

Calls

10 calls:

24.0ms	(/.f64 K #s(literal 2 binary64))
20.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
18.0ms	U
17.0ms	K
17.0ms	l

Results

Accuracy	Segments	Branch
92.1%	1	`J`
96.6%	3	`l`
96.2%	2	`K`
92.1%	1	`U`
92.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.1%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
97.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
96.2%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes19.0ms (0.2%)

Memory

-3.6MiB live, 35.0MiB allocated

Counts

53 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J 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))
(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 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (.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 (.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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) (.f64 (*.f64 l l) l)))) U)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (fma.f64 (.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 #s(literal 2 binary64) J)) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

(+.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)

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

Calls

1 calls:

15.0ms

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

Results

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes49.0ms (0.5%)

Memory

-16.5MiB live, 101.5MiB allocated

Counts

50 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J 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))
(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 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (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 (.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)

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:

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

Results

Accuracy	Segments	Branch
93.9%	2	`K`
93.9%	2	`(/.f64 K #s(literal 2 binary64))`
96.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes19.0ms (0.2%)

Memory

-3.8MiB live, 34.3MiB allocated

Counts

49 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J 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))
(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 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 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

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
95.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes143.0ms (1.3%)

Memory

14.5MiB live, 294.4MiB allocated

Counts

45 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J 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))
(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)

Outputs

(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)

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

20.0ms	J
16.0ms	l
15.0ms	K
15.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	U

Results

Accuracy	Segments	Branch
79.6%	1	`U`
85.5%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
85.5%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
83.8%	2	`J`
85.5%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
85.5%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
79.6%	1	`K`
79.6%	1	`(/.f64 K #s(literal 2 binary64))`
87.5%	4	`l`
91.0%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes16.0ms (0.2%)

Memory

1.9MiB live, 40.9MiB allocated

Counts

44 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J 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))

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))

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

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
91.0%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes19.0ms (0.2%)

Memory

-1.8MiB live, 39.1MiB allocated

Counts

43 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J 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

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

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
87.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes130.0ms (1.2%)

Memory

2.7MiB live, 274.7MiB allocated

Counts

41 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) 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) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* l J) 2) U)) (.f64 (.f64 #s(literal 1/192 binary64) J) (.f64 (.f64 (.f64 K K) (.f64 K K)) 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 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (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 (.f64 (.f64 K K) #s(literal -1/4 binary64))) l (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) (fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) K) (.f64 l K)) J (fma.f64 (.f64 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 #s(literal 1/384 binary64) (.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)) #s(approx (* (sinh 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))) J U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K))) (.f64 (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) l) K) K l))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (.f64 J (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64))) l) 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 (.f64 l J) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (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 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) J) (.f64 K K) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (*.f64 K J) #s(literal -1/4 binary64)) l)) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 (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 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #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))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 #s(approx ( (* (* (* (+ (* (* l l) 1/3) 2) l) J) -1/8) K) (.f64 (.f64 (.f64 (.f64 (*.f64 l l) l) K) J) #s(literal -1/24 binary64))) K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) #s(literal -1/8 binary64)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l #s(approx (* (* (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) K) K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (/.f64 #s(literal 1/60 binary64) (.f64 l l)) #s(literal 1/2520 binary64)))) (.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 #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))) #s(approx (* (sinh 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))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K))))) U)
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/3600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(.f64 (.f64 (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) J)) l)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (/.f64 (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (.f64 J J) J)) #s(literal 8 binary64) (.f64 (.f64 U U) U)) (fma.f64 (.f64 (.f64 J l) (.f64 J l)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J l) #s(literal 2 binary64))))))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16003008000 binary64) (.f64 (.f64 l l) l)) (.f64 (.f64 l l) l) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)

Outputs

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

Calls

10 calls:

14.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
14.0ms	U
13.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms	J
12.0ms	(+.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
72.9%	1	`U`
72.9%	1	`K`
72.9%	1	`(/.f64 K #s(literal 2 binary64))`
74.5%	2	`J`
74.7%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
72.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
74.7%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
74.7%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
74.8%	2	`l`
80.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes10.0ms (0.1%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
80.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.1%)

Memory

-27.6MiB live, 12.8MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
79.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
77.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
75.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes40.0ms (0.4%)

Memory

-4.0MiB live, 73.3MiB allocated

Counts

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

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

Calls

10 calls:

6.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	U
4.0ms	J
4.0ms	l

Results

Accuracy	Segments	Branch
66.5%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
60.3%	1	`U`
60.3%	1	`K`
60.3%	1	`(/.f64 K #s(literal 2 binary64))`
63.1%	2	`J`
66.5%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
66.5%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
66.5%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
66.5%	3	`l`
66.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes89.0ms (0.8%)

Memory

-20.3MiB live, 60.3MiB allocated

Counts

8 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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)))

Calls

10 calls:

60.0ms	K
4.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms	U
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	l

Results

Accuracy	Segments	Branch
50.9%	1	`U`
54.6%	3	`K`
54.6%	3	`(/.f64 K #s(literal 2 binary64))`
53.2%	2	`J`
58.2%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
58.2%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
58.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
58.3%	3	`l`
58.2%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
56.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes9.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

7 → 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 J #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) #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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.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) J (/.f64 U l)) l))))
#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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (*.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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (*.f64 (*.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
58.2%	3	`l`
55.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes18.0ms (0.2%)

Memory

-15.5MiB live, 23.9MiB allocated

Counts

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

Calls

6 calls:

7.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	l
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
55.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
52.8%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
50.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
50.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
50.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
53.2%	2	`l`

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes12.0ms (0.1%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

3 → 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 J #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) #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

6 calls:

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

Results

Accuracy	Segments	Branch
50.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
50.9%	1	`K`
50.9%	1	`(/.f64 K #s(literal 2 binary64))`
50.9%	1	`l`
50.9%	1	`J`
50.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 42 to 34 computations (19% saved)

regimes18.0ms (0.2%)

Memory

3.6MiB live, 41.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Calls

10 calls:

4.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	K
2.0ms	U
2.0ms	J
1.0ms	l

Results

Accuracy	Segments	Branch
20.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
20.4%	1	`J`
20.4%	1	`l`
20.4%	1	`U`
20.4%	1	`K`
20.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
20.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
20.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
20.4%	1	`(/.f64 K #s(literal 2 binary64))`
20.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.33068686212283815	0.33539986286810314

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

-38.0MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
1.0ms	0.33068686212283815	0.33539986286810314

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032
0.0ms	-0.6069032915912544	-0.6037134367449462

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032
0.0ms	-0.6069032915912544	-0.6037134367449462

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch48.0ms (0.5%)

Memory

-2.6MiB live, 37.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	4.9552919973381145e+20	5.293057185326044e+24
14.0ms	-813650009.2631539	-162245017.8231724

Samples

22.0ms

224×

valid

Compiler

Compiled 456 to 287 computations (37.1% saved)

Precisions

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

ival-cos: 5.0ms (31.2% of total)

ival-exp: 4.0ms (25% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.019632877281367842	0.026749054819638032

Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify12.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Rules

78×	`*-commutative_binary64`
12×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	1371
1	229	1371

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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6034823500676465/18014398509481984 binary64)) (+.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 (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 6034823500676465/18014398509481984 binary64)) (+.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) (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 -5764607523034235/576460752303423488 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 -5764607523034235/576460752303423488 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1362338887279575/2251799813685248 binary64)) (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) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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 -1362338887279575/2251799813685248 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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 -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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 -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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)) #s(approx (* (sinh 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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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)) #s(approx (* (sinh 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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.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 -5764607523034235/576460752303423488 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))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 (+ (* (* 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 l #s(literal -165000000 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 500000000000000000000 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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) (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 J #s(literal 2 binary64)) l))))

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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6034823500676465/18014398509481984 binary64)) (+.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 (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 6034823500676465/18014398509481984 binary64)) (+.f64 (.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) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6034823500676465/18014398509481984 binary64)) (+.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) (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 6034823500676465/18014398509481984 binary64)) (+.f64 (.f64 (.f64 #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)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 -5764607523034235/576460752303423488 binary64)) (+.f64 (.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l U)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1362338887279575/2251799813685248 binary64)) (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) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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 -1362338887279575/2251799813685248 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1362338887279575/2251799813685248 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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 -1362338887279575/2251799813685248 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 #s(literal 1/2 binary64) K)) U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) l) l)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (fma.f64 (.f64 #s(approx (* (sinh l) 2) (.f64 (fma.f64 #s(approx (+ ( (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/2520 binary64)) l) l)) (.f64 l l) #s(literal 2 binary64)) l)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #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)) #s(approx (* (sinh 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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l)) U) (fma.f64 (.f64 #s(approx (* (sinh 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)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #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))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 #s(approx ( (sinh 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)) #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #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))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.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 -5764607523034235/576460752303423488 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) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (.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 -5764607523034235/576460752303423488 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))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 (+ (* (* 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 -5764607523034235/576460752303423488 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) (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 J l) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -165000000 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 500000000000000000000 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
(if (<=.f64 l #s(literal -165000000 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (.f64 J l))))) (if (<=.f64 l #s(literal 500000000000000000000 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 J l)))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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 -5764607523034235/576460752303423488 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 (+ (* (* -1/4 (* (* K K) l)) J) (+ (* (* l J) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 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) (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 J #s(literal 2 binary64)) l))))

soundness1.8s (16.4%)

Memory

44.1MiB live, 1 290.5MiB allocated

Rules

18 246×	`lower-fma.f64`
18 246×	`lower-fma.f32`
16 278×	`lower-fma.f64`
16 278×	`lower-fma.f32`
16 158×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	14590
1	1815	14292
2	6524	14262
0	8291	13238
0	145	1758
1	453	1758
2	1465	1648
3	3571	1648
0	8160	1568
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37
0	89	792
0	125	780
1	420	780
2	2790	780
0	9214	763
0	511	14226
1	1744	14038
2	6352	12762
0	8651	11955
0	394	10170
1	1337	10068
2	4547	9498
0	8168	8962

Stop Event

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

Compiler

Compiled 1 613 to 800 computations (50.4% saved)

preprocess114.0ms (1.1%)

Memory: 4.1MiB live, 231.2MiB allocated
Remove: (abs K)
Compiler: Compiled 1 526 to 320 computations (79% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (17.3%)

explain243.0ms (2.3%)

preprocess93.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify55.0ms (0.5%)

localize75.0ms (0.7%)

series54.0ms (0.5%)

simplify162.0ms (1.5%)

rewrite168.0ms (1.6%)

eval48.0ms (0.4%)

prune76.0ms (0.7%)

simplify108.0ms (1%)

localize349.0ms (3.3%)

series105.0ms (1%)

simplify223.0ms (2.1%)

rewrite225.0ms (2.1%)

eval446.0ms (4.2%)

prune138.0ms (1.3%)

simplify160.0ms (1.5%)

localize224.0ms (2.1%)

series284.0ms (2.6%)

simplify259.0ms (2.4%)

rewrite274.0ms (2.5%)

eval251.0ms (2.3%)

prune206.0ms (1.9%)

simplify169.0ms (1.6%)

localize256.0ms (2.4%)

series144.0ms (1.3%)

simplify201.0ms (1.9%)

rewrite244.0ms (2.3%)

eval348.0ms (3.2%)

prune366.0ms (3.4%)

regimes195.0ms (1.8%)

regimes172.0ms (1.6%)

regimes19.0ms (0.2%)

regimes49.0ms (0.5%)

regimes19.0ms (0.2%)

regimes143.0ms (1.3%)

regimes16.0ms (0.2%)

regimes19.0ms (0.2%)

regimes130.0ms (1.2%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes40.0ms (0.4%)

regimes89.0ms (0.8%)

regimes9.0ms (0.1%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch48.0ms (0.5%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.8s (16.4%)

preprocess114.0ms (1.1%)

end0.0ms (0%)

Profiling