Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample2.1s (19.2%)

Memory

32.6MiB live, 3 078.8MiB allocated

Samples

987.0ms	1 790×	1	valid
700.0ms	6 466×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-exp: 562.0ms (39.4% of total)

ival-cos: 356.0ms (25% of total)

ival-mult: 185.0ms (13% of total)

adjust: 128.0ms (9% of total)

ival-sub: 51.0ms (3.6% of total)

ival-div: 51.0ms (3.6% of total)

ival-add: 45.0ms (3.2% of total)

ival-neg: 33.0ms (2.3% of total)

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

exact: 6.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain240.0ms (2.2%)

Memory

-26.0MiB live, 506.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
120	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	119	(-2.9039973447011962e+103 5.885375485132382e-308 2.854573287413445e+135 -4.7404936433561545e+205)	-	`(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	119	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	38	0

Confusion

	Predicted +	Predicted -
+	35	0
-	106	115

Precision

0.24822695035460993

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	0
-	106	0	115

Precision?

0.24822695035460993

Recall?

1.0

Freqs

test

number	freq
0	115
1	125
2	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	184×	1	valid
38.0ms	52×	2	valid
31.0ms	276×	0	valid

Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-exp: 54.0ms (54.2% of total)

ival-cos: 17.0ms (17.1% of total)

ival-mult: 9.0ms (9% of total)

adjust: 6.0ms (6% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

preprocess90.0ms (0.8%)

Memory

17.9MiB live, 98.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.6%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify56.0ms (0.5%)

Memory

0.5MiB live, 38.3MiB 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

localize85.0ms (0.8%)

Memory

5.5MiB live, 121.6MiB 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	0.049160009768442016	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	27.965954970417467	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

36.0ms	92×	1	valid
23.0ms	138×	0	valid
13.0ms	26×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-exp: 24.0ms (46.5% of total)

ival-cos: 12.0ms (23.2% of total)

ival-mult: 5.0ms (9.7% of total)

ival-add: 4.0ms (7.7% of total)

adjust: 3.0ms (5.8% of total)

ival-sub: 2.0ms (3.9% of total)

ival-div: 2.0ms (3.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

-2.6MiB live, 34.9MiB 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
5.0ms	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)))
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)))
2.0ms	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	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)))

simplify201.0ms (1.8%)

Memory

-8.2MiB live, 270.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

Calls

Call 1

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

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

rewrite140.0ms (1.3%)

Memory

2.4MiB live, 195.4MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 264

Calls

Call 1

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

Outputs
(.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)) (pow.f64 U #s(literal 3 binary64)))) (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 (+.f64 (pow.f64 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 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 (+.f64 (pow.f64 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 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 (pow.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)) #s(literal -1 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))))
(.f64 (pow.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)) #s(literal -1 binary64)) (+.f64 (pow.f64 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 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 (+.f64 (pow.f64 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 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))) (pow.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)) #s(literal -1 binary64)))
(.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) (pow.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)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 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 3 binary64))) (pow.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)) #s(literal -1 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)) 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))))
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(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
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(+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l))
(+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))

eval50.0ms (0.5%)

Memory: 15.3MiB live, 97.0MiB allocated
Compiler: Compiled 10 890 to 1 163 computations (89.3% saved)

prune15.0ms (0.1%)

Memory

2.3MiB live, 41.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	383	9	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	384	9	393

Accuracy

100.0%

Counts

393 → 9

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)
	100.0%	(+.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
	91.0%	(+.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)
▶	88.4%	(+.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)
	82.4%	(+.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)
▶	80.7%	(+.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)
▶	75.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
▶	64.2%	#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))
	80.7%	#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 306 to 262 computations (14.4% saved)

simplify89.0ms (0.8%)

Memory

12.1MiB live, 132.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 l)
cost-diff	0	(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
cost-diff	0	#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))
cost-diff	6400	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	#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))
cost-diff	0	(.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)))
cost-diff	0	(.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))))
cost-diff	128	(+.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)
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

6 134×	`lower-fma.f32`
6 122×	`lower-fma.f64`
3 446×	`lower-*.f32`
3 420×	`lower-*.f64`
1 418×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	413
0	89	411
1	154	411
2	313	411
3	730	391
4	1495	391
5	2798	391
0	8150	388

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

localize227.0ms (2.1%)

Memory

-0.5MiB live, 322.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 l)
accuracy	0.00390625	(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
accuracy	10.846906496394807	#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))
accuracy	27.965954970417467	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy	0.049160009768442016	(.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))))
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))
accuracy	0.06640625	(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy	8.889367187611478	#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))
accuracy	0.109375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	0.12109375	(.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	2.2134535360992666	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	13.430677160463778	#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	0.2574797992924791	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
accuracy	23.061481038386344	#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	(sinh.f64 l)
accuracy	0.00390625	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.00390625	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy	0.05078125	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))

Samples

96.0ms	92×	1	valid
64.0ms	138×	0	valid
31.0ms	26×	2	valid

Compiler

Compiled 317 to 46 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-exp: 46.0ms (31.6% of total)

ival-mult: 44.0ms (30.2% of total)

ival-cos: 19.0ms (13% of total)

ival-add: 11.0ms (7.5% of total)

adjust: 10.0ms (6.9% of total)

const: 9.0ms (6.2% of total)

ival-sub: 2.0ms (1.4% of total)

ival-sinh: 2.0ms (1.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series119.0ms (1.1%)

Memory

10.7MiB live, 117.9MiB allocated

Counts

26 → 696

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 (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) (patch (+.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) #<representation binary64>) () ())
#s(alt (.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)))) (patch (.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)))) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<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 #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) (patch (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U) #<representation binary64>) () ())
#s(alt (exp.f64 l) (patch (exp.f64 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 (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 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) #<representation binary64>) () ())

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

Calls

12 calls:

Time	Variable		Point	Expression
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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))
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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))
8.0ms	U	@	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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))
7.0ms	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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))
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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (sinh l) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2))

simplify223.0ms (2%)

Memory

1.1MiB live, 274.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 036×	`lower-fma.f64`
18 036×	`lower-fma.f32`
6 802×	`lower-*.f64`
6 802×	`lower-*.f32`
4 458×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	409	9328
1	1381	9238
2	4627	8728
0	8225	8222

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 667

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

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

rewrite224.0ms (2%)

Memory

1.0MiB live, 318.9MiB allocated

Rules

5 428×	`lower-*.f32`
5 402×	`lower-*.f64`
4 976×	`lower-fma.f32`
4 964×	`lower-fma.f64`
4 032×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	339
0	89	317
1	286	317
2	1788	317
0	8597	314

Stop Event

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

Counts

26 → 445

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 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 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))))
(.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)))
#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))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#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 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(exp.f64 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))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 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)) (pow.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)) #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 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.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))) #s(literal -1 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 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #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 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #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)) (pow.f64 U #s(literal 4 binary64))) #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)) (pow.f64 U #s(literal 6 binary64))) #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)) (+.f64 (pow.f64 U #s(literal 4 binary64)) (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)) (pow.f64 U #s(literal 6 binary64))) #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)) (pow.f64 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)))))
(/.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)) (pow.f64 U #s(literal 9 binary64))) #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 (pow.f64 U #s(literal 6 binary64)) (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)))))
(/.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 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 (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 U U))) (.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)) (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 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))) (-.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 (-.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 (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 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U 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 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 J U))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (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)))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) l) #s(literal 9 binary64)) #s(literal 512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) l) #s(literal 6 binary64)) (-.f64 #s(literal 64 binary64) (.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (.f64 #s(literal 2 binary64) l)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal -2 binary64))) (.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)) #s(literal 4 binary64))) (.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)) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64))) (neg.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))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 #s(literal 2 binary64) l))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (.f64 #s(literal 2 binary64) l)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64)) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.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)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (.f64 #s(literal 2 binary64) l))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 #s(literal 2 binary64) l)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (.f64 #s(literal 2 binary64) l))))
(/.f64 #s(literal 1 binary64) (/.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)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (.f64 #s(literal 2 binary64) l))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) l #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))
(fma.f64 (.f64 l l) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 l (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) l))) (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) l))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l))

eval156.0ms (1.4%)

Memory: 10.1MiB live, 278.9MiB allocated
Compiler: Compiled 28 282 to 2 840 computations (90% saved)

prune35.0ms (0.3%)

Memory

9.2MiB live, 86.9MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1 107	19	1 126
Fresh	4	0	4
Picked	5	0	5
Done	0	0	0
Total	1 116	19	1 135

Accuracy

100.0%

Counts

1 135 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.3%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	63.9%	(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)
▶	56.1%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	57.0%	(+.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)
	41.8%	(+.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))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) 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))) l)) U)
▶	57.8%	(+.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))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (.f64 K K) J))) l)) U)
	67.5%	(+.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)
	47.5%	#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))
	48.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
▶	83.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
	75.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J U))
	73.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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 U))
▶	69.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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 U))
	55.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
	67.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
▶	55.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
	50.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
	51.8%	#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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)))
	30.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 656 to 542 computations (17.4% saved)

simplify174.0ms (1.6%)

Memory

-53.3MiB live, 168.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

14 358×	`lower-fma.f32`
14 342×	`lower-fma.f64`
5 650×	`lower-*.f32`
5 628×	`lower-*.f64`
2 984×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	629
0	90	629
1	165	629
2	385	629
3	1104	603
4	2768	603
5	4192	603
6	7027	603
0	8132	600

Stop Event

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

Calls

Call 1

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

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

localize236.0ms (2.1%)

Memory

21.5MiB live, 326.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2895702191124172	(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
accuracy	2.2134535360992666	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	13.430677160463778	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
accuracy	29.413516005395703	#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy	1.7005957578311788	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (.f64 K K) J))
accuracy	3.764368790422392	(fma.f64 (.f64 #s(literal -1/8 binary64) J) (.f64 K K) J)
accuracy	13.430677160463778	#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)) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (.f64 K K) J))) l))
accuracy	25.859201522849204	#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)) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (.f64 K K) J)))
accuracy	0.0546875	(.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	10.846906496394807	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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 U))
accuracy	14.32048717793147	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0	(*.f64 l J)
accuracy	0.0078125	(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
accuracy	10.846906496394807	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
accuracy	22.922500917832718	#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
accuracy	0	(*.f64 (sinh.f64 l) #s(literal 2 binary64))
accuracy	0	(sinh.f64 l)
accuracy	0.00390625	(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
accuracy	10.846906496394807	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))

Samples

73.0ms	92×	1	valid
66.0ms	138×	0	valid
31.0ms	26×	2	valid

Compiler

Compiled 369 to 51 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 44.0ms (33% of total)

ival-exp: 24.0ms (18% of total)

ival-cos: 16.0ms (12% of total)

ival-add: 16.0ms (12% of total)

const: 14.0ms (10.5% of total)

adjust: 11.0ms (8.3% of total)

ival-sub: 2.0ms (1.5% of total)

ival-div: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 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)

series98.0ms (0.9%)

Memory

16.3MiB live, 172.8MiB allocated

Counts

26 → 792

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	J	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J) (* (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))
7.0ms	l	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J) (* (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))
5.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J) (* (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))
4.0ms	J	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J) (* (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))
4.0ms	l	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (* l l) 1/3) 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))) (* (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J) (* (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J)) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)) (+ (* -1/46080 (* K K)) 1/384))

simplify222.0ms (2%)

Memory

8.6MiB live, 357.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 154×	`lower-fma.f64`
18 154×	`lower-fma.f32`
7 478×	`lower-*.f64`
7 478×	`lower-*.f32`
6 008×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	11316
1	1032	11242
2	3587	10404
0	8253	9768

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 754

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

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

rewrite266.0ms (2.4%)

Memory

-4.0MiB live, 318.2MiB allocated

Rules

5 888×	`lower-fma.f32`
5 872×	`lower-fma.f64`
4 478×	`lower-*.f32`
4 456×	`lower-*.f64`
3 360×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	542
0	90	516
1	334	516
2	2226	516
0	8533	513

Stop Event

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

Counts

26 → 499

Calls

Call 1

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

Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U))
(.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U)) (pow.f64 (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 U U) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) (/.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) (fma.f64 (/.f64 (.f64 U U) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)))))))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 U (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) (.f64 (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 U (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U))) (neg.f64 (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U)) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U))))
(/.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 J (cosh.f64 l)) U)
(fma.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (cosh.f64 l)) U)
(fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l) U)
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 J (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 U (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) (neg.f64 U))))
(+.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)
(+.f64 U (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)))
(.f64 (cosh.f64 l) (/.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (cosh.f64 l)))
(.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (pow.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (pow.f64 (exp.f64 l) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l)))))
(/.f64 (neg.f64 (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (neg.f64 (-.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/147456 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))) (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)))))
(/.f64 (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)) (+.f64 #s(literal 1/147456 binary64) (-.f64 (.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64))) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/147456 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))) (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64))))
(fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(fma.f64 K (*.f64 #s(literal -1/46080 binary64) K) #s(literal 1/384 binary64))
(-.f64 (/.f64 #s(literal 1/147456 binary64) (-.f64 #s(literal 1/384 binary64) (.f64 #s(literal -1/46080 binary64) (.f64 K K)))) (/.f64 (.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64))) (-.f64 #s(literal 1/384 binary64) (.f64 #s(literal -1/46080 binary64) (*.f64 K K)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2123366400 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64))))
(+.f64 (.f64 #s(literal -1/46080 binary64) (.f64 K K)) #s(literal 1/384 binary64))
(+.f64 #s(literal 1/384 binary64) (.f64 #s(literal -1/46080 binary64) (.f64 K K)))

eval241.0ms (2.2%)

Memory: 15.9MiB live, 285.4MiB allocated
Compiler: Compiled 38 912 to 3 568 computations (90.8% saved)

prune66.0ms (0.6%)

Memory

14.3MiB live, 176.5MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1 317	16	1 333
Fresh	2	12	14
Picked	3	2	5
Done	0	0	0
Total	1 322	30	1 352

Accuracy

100.0%

Counts

1 352 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.3%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	63.9%	(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)
	56.1%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	56.1%	(+.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(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
▶	57.0%	(+.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(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	41.8%	(+.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))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) 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))) l)) U)
	59.0%	(+.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)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) J) K) K J))) l)) U)
	51.6%	(+.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)) #s(approx (+ (* (* -1/8 J) (* K K)) J) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) J (/.f64 J (*.f64 K K))) K) K)))) l)) U)
	34.4%	(+.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)) #s(approx (+ (* (* -1/8 J) (* K K)) J) (.f64 (.f64 (*.f64 K K) J) #s(literal -1/8 binary64))))) l)) U)
	67.5%	(+.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)
	48.8%	(+.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))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (.f64 K K) J))) l)) U)
	35.6%	(+.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) (+ (* (* -1/8 J) (* K K)) J)) (.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))) l)) U)
	58.2%	(+.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) (+ (* (* -1/8 J) (* K K)) J)) (.f64 (neg.f64 J) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))))) l)) U)
	47.5%	#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))
▶	48.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
✓	83.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
▶	75.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J U))
	73.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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 U))
	69.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J U))
	61.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) l)) J U))
	55.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)) l)) J U))
▶	67.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
✓	55.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
	60.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	53.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
	43.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
▶	21.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l))))
	50.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
	51.8%	#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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)))
	30.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 1 034 to 870 computations (15.9% saved)

simplify128.0ms (1.2%)

Memory

7.1MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 #s(approx (cos ( K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.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 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.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 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.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) #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)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) U))
cost-diff	0	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)
cost-diff	0	#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) J) l)
cost-diff	0	#s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l))
cost-diff	0	#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l))))
cost-diff	0	(.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 (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
cost-diff	0	(fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J U))

Rules

7 116×	`lower-fma.f32`
7 094×	`lower-fma.f64`
3 114×	`lower-*.f32`
3 092×	`lower-*.f64`
2 348×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	716
0	101	716
1	190	716
2	364	716
3	881	716
4	1756	716
5	2508	716
6	3471	716
7	4182	716
8	4678	716
9	5163	716
10	6918	716
0	8065	697

Stop Event

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

Calls

Call 1

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

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

localize665.0ms (6%)

Memory

-254.9MiB live, 523.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.2134535360992666	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	13.430677160463778	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
accuracy	29.413516005395703	#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
accuracy	29.68469389001851	#s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64))
accuracy	0.2574797992924791	(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)
accuracy	0.30809950028745237	(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy	23.061481038386344	#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))
accuracy	29.280482557949615	#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)))
accuracy	0.109375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	2.2134535360992666	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
accuracy	10.846906496394807	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
accuracy	13.029398225982794	#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))
accuracy	0	(*.f64 #s(literal 2 binary64) J)
accuracy	10.846906496394807	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l))))
accuracy	22.922500917832718	#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l)))
accuracy	31.135149372109158	#s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l))
accuracy	0.07421875	(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	0.07421875	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	7.62176877390822	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
accuracy	10.846906496394807	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J U))

Samples

110.0ms	92×	1	valid
105.0ms	138×	0	valid
51.0ms	26×	2	valid

Compiler

Compiled 410 to 64 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-add: 70.0ms (32.1% of total)

ival-mult: 50.0ms (22.9% of total)

ival-exp: 27.0ms (12.4% of total)

ival-cos: 26.0ms (11.9% of total)

const: 19.0ms (8.7% of total)

adjust: 15.0ms (6.9% of total)

ival-neg: 7.0ms (3.2% of total)

ival-sub: 2.0ms (0.9% of total)

ival-div: 2.0ms (0.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series88.0ms (0.8%)

Memory

-11.7MiB live, 149.1MiB allocated

Counts

29 → 804

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* 2 J) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* 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))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* 2 J) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)))
5.0ms	U	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* 2 J) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* 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))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* 2 J) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)))
4.0ms	l	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* 2 J) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* 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))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* 2 J) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)))
3.0ms	l	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* 2 J) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* 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))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* 2 J) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)))
3.0ms	J	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* l J) 2) U) (* (* 2 J) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (* (+ (* (* l l) 1/3) 2) J) (+ (* (* 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))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* 2 J) (+ (* (* l l) 1/3) 2) (cos (* K 1/2)) (+ (* 1/384 (* K K)) -1/8) (+ (* -1/46080 (* K K)) 1/384) (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2)))

simplify297.0ms (2.7%)

Memory

5.0MiB live, 313.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 528×	`lower-fma.f64`
18 528×	`lower-fma.f32`
6 914×	`lower-*.f64`
6 914×	`lower-*.f32`
3 938×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	10094
1	1180	10036
2	4259	9577
0	8168	8966

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 760

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))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (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 (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (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) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
U
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) 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) (exp (neg l)))))
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(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* J (* (cos (* 1/2 K)) (- (exp l) (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 (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ 2 (* 1/3 (pow l 2))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 2 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
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* 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 (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* 2 (* J (cos (* 1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* 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)))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* 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)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 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)))))
(* 1/3 (* 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)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/3 (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 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)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* 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)))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* 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)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/3 (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 l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))

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

rewrite292.0ms (2.7%)

Memory

10.8MiB live, 271.8MiB allocated

Rules

6 898×	`lower-fma.f32`
6 876×	`lower-fma.f64`
5 106×	`lower-*.f32`
5 084×	`lower-*.f64`
3 690×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	603
0	101	577
1	400	577
2	2783	577
0	9585	560

Stop Event

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

Counts

29 → 371

Calls

Call 1

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

Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg 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)) J U))
(.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64)) (.f64 U U)) (pow.f64 (fma.f64 #s(approx (- (exp l) (exp (neg 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)) J (neg.f64 U)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (.f64 #s(approx (- (exp l) (exp (neg 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)) J)) (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (.f64 #s(approx (- (exp l) (exp (neg 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)) J))))
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(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64))) (-.f64 U (.f64 #s(approx (- (exp l) (exp (neg 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)) J)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (fma.f64 #s(approx (- (exp l) (exp (neg 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)) J (neg.f64 U))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64)) (.f64 #s(approx (- (exp l) (exp (neg 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)) (.f64 J U))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 #s(approx (- (exp l) (exp (neg 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)) J)) (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 #s(approx (- (exp l) (exp (neg 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)) J (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (- (exp l) (exp (neg 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)) J (neg.f64 U)) (-.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64)) (.f64 U U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 #s(approx (- (exp l) (exp (neg 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)) J)) (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 #s(approx (- (exp l) (exp (neg 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)) J)) (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (- (exp l) (exp (neg 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)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))))
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#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) J)
(.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) J)) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) J)) (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 J (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 J (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) (.f64 #s(literal 2 binary64) J))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) (*.f64 #s(literal 2 binary64) J))))))
(/.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) J) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) J) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (.f64 J (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal -2 binary64)))
(/.f64 (.f64 J (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) (.f64 #s(literal 2 binary64) J)))
(/.f64 (fma.f64 (pow.f64 (.f64 J #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) (*.f64 #s(literal 2 binary64) J)))))
(fma.f64 (.f64 J #s(literal 1/3 binary64)) (.f64 l l) (*.f64 #s(literal 2 binary64) J))
(fma.f64 (.f64 J (.f64 l l)) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J (*.f64 #s(literal 2 binary64) J))
(fma.f64 (.f64 l J) (.f64 #s(literal 1/3 binary64) l) (*.f64 #s(literal 2 binary64) J))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) J) (*.f64 #s(literal 2 binary64) J))
(fma.f64 (.f64 l l) (.f64 #s(literal 1/3 binary64) J) (*.f64 #s(literal 2 binary64) J))
(fma.f64 #s(literal 2 binary64) J (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 l l)) J))
(fma.f64 l (.f64 (.f64 #s(literal 1/3 binary64) l) J) (*.f64 #s(literal 2 binary64) J))
(fma.f64 J (.f64 #s(literal 1/3 binary64) (.f64 l l)) (*.f64 #s(literal 2 binary64) J))
(fma.f64 J #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 l l)) J))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) (.f64 #s(literal 2 binary64) J))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) (.f64 #s(literal 2 binary64) J))))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J) (.f64 #s(literal 2 binary64) J))
(+.f64 (.f64 #s(literal 2 binary64) J) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) J))

eval217.0ms (2%)

Memory: 30.1MiB live, 388.4MiB allocated
Compiler: Compiled 29 016 to 2 606 computations (91% saved)

prune133.0ms (1.2%)

Memory

-28.4MiB live, 207.4MiB allocated

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	1 158	12	1 170
Fresh	5	18	23
Picked	3	2	5
Done	0	2	2
Total	1 166	34	1 200

Accuracy

100.0%

Counts

1 200 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.3%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	63.9%	(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)
	57.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J)) l)) U)
	56.1%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	56.1%	(+.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(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	57.0%	(+.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(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (fma.f64 (.f64 l l) (.f64 #s(literal 1/3 binary64) J) (*.f64 #s(literal 2 binary64) J))) l)) U)
	51.9%	(+.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(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))))) l)) U)
	59.0%	(+.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)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) J) K) K J))) l)) U)
	51.6%	(+.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)) #s(approx (+ (* (* -1/8 J) (* K K)) J) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) J (/.f64 J (*.f64 K K))) K) K)))) l)) U)
	34.4%	(+.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)) #s(approx (+ (* (* -1/8 J) (* K K)) J) (.f64 (.f64 (*.f64 K K) J) #s(literal -1/8 binary64))))) l)) U)
	48.8%	(+.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))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) J) (.f64 K K) J))) l)) U)
	35.6%	(+.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) (+ (* (* -1/8 J) (* K K)) J)) (.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))) l)) U)
	58.2%	(+.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) (+ (* (* -1/8 J) (* K K)) J)) (.f64 (neg.f64 J) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 K K) #s(literal -1 binary64)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))))) l)) U)
	47.5%	#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))
	48.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) #s(approx (cos (* K 1/2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U))
✓	83.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
✓	75.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J U))
	75.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J U))
	75.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J U))
	73.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.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))
	69.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J U))
	61.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) l)) J U))
	55.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) #s(literal 2 binary64)) l)) J U))
	67.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (.f64 l l) (.f64 #s(literal 1/3 binary64) J) (*.f64 #s(literal 2 binary64) J)) l U)))
✓	55.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
	60.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (* (+ (* (* l l) 1/3) 2) J) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
	34.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
	60.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	53.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
	43.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
✓	21.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l))))
	50.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
	51.8%	#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 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 U l)) l)))
	30.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* K 1/2))) U) (.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))

Compiler

Compiled 1 637 to 844 computations (48.4% saved)

regimes187.0ms (1.7%)

Memory

11.9MiB live, 401.9MiB allocated

Counts

57 → 1

Calls

Call 1

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

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

Calls

10 calls:

24.0ms	U
21.0ms	J
19.0ms	(/.f64 K #s(literal 2 binary64))
17.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
16.0ms	K

Results

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

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes215.0ms (2%)

Memory

43.9MiB live, 269.8MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

43.0ms	l
38.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
24.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
21.0ms	U
17.0ms	K

Results

Accuracy	Segments	Branch
91.0%	1	`J`
95.4%	3	`l`
95.9%	2	`K`
91.0%	1	`U`
91.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
91.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
91.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
91.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
96.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.9%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes42.0ms (0.4%)

Memory

-9.2MiB live, 27.9MiB allocated

Counts

52 → 2

Calls

Call 1

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

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)

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

Calls

1 calls:

39.0ms

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

Results

Accuracy	Segments	Branch
96.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes57.0ms (0.5%)

Memory

-28.6MiB live, 75.9MiB allocated

Counts

51 → 2

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
19.0ms	K
14.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
93.0%	2	`K`
93.0%	2	`(/.f64 K #s(literal 2 binary64))`
94.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes33.0ms (0.3%)

Memory

7.0MiB live, 80.3MiB allocated

Counts

50 → 2

Calls

Call 1

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

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))

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

Calls

2 calls:

16.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms	l

Results

Accuracy	Segments	Branch
94.2%	5	`l`
93.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 5 to 11 computations (-120% saved)

regimes154.0ms (1.4%)

Memory

3.6MiB live, 236.6MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

29.0ms	(/.f64 K #s(literal 2 binary64))
21.0ms	U
20.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
16.0ms	J
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
85.1%	2	`J`
84.7%	2	`U`
89.0%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
89.0%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
89.0%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
88.2%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
84.8%	2	`K`
84.8%	2	`(/.f64 K #s(literal 2 binary64))`
91.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 52 to 69 computations (-32.7% saved)

regimes31.0ms (0.3%)

Memory

-2.5MiB live, 70.9MiB allocated

Counts

45 → 2

Calls

Call 1

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.2%	3	`l`
88.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 5 to 11 computations (-120% saved)

regimes175.0ms (1.6%)

Memory

3.2MiB live, 286.2MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

39.0ms	J
31.0ms	U
17.0ms	K
17.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
14.0ms	l

Results

Accuracy	Segments	Branch
75.6%	1	`U`
77.2%	2	`K`
77.2%	2	`(/.f64 K #s(literal 2 binary64))`
75.6%	1	`J`
75.6%	1	`l`
75.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
77.2%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
77.2%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
75.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
81.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes23.0ms (0.2%)

Memory

-7.4MiB live, 30.7MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
81.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes32.0ms (0.3%)

Memory

6.0MiB live, 47.0MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

(+.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)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) K) K J))) l)) U)

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

Calls

1 calls:

30.0ms

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

Results

Accuracy	Segments	Branch
81.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes25.0ms (0.2%)

Memory

-0.4MiB live, 38.4MiB allocated

Counts

27 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

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

Results

Accuracy	Segments	Branch
81.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes33.0ms (0.3%)

Memory

-4.9MiB live, 34.1MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

(+.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)) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) K) K J))) l)) U)

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

Calls

1 calls:

7.0ms

(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 4 to 7 computations (-75% saved)

regimes9.0ms (0.1%)

Memory

30.6MiB live, 30.6MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

(+.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) (+ (* (* -1/8 J) (* K K)) J)) (*.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))) l)) U)

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

Calls

1 calls:

7.0ms

(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 4 to 7 computations (-75% saved)

regimes33.0ms (0.3%)

Memory

-15.3MiB live, 19.1MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

32.0ms

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

Results

Accuracy	Segments	Branch
78.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes120.0ms (1.1%)

Memory

4.3MiB live, 124.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

10 calls:

34.0ms	(/.f64 K #s(literal 2 binary64))
27.0ms	U
22.0ms	J
6.0ms	K
6.0ms	l

Results

Accuracy	Segments	Branch
69.0%	1	`l`
69.0%	1	`U`
69.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
69.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
69.0%	1	`J`
69.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
69.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
70.7%	2	`K`
70.7%	2	`(/.f64 K #s(literal 2 binary64))`
74.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes5.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
72.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes70.0ms (0.6%)

Memory

8.4MiB live, 46.1MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

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

Calls

10 calls:

38.0ms	K
4.0ms	(/.f64 K #s(literal 2 binary64))
4.0ms	U
4.0ms	J
4.0ms	l

Results

Accuracy	Segments	Branch
69.0%	3	`l`
63.4%	2	`J`
65.0%	3	`U`
69.0%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
69.0%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
69.0%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
69.0%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
63.4%	2	`K`
63.4%	2	`(/.f64 K #s(literal 2 binary64))`
66.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes30.0ms (0.3%)

Memory

-26.2MiB live, 17.1MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

20.0ms	l
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
68.9%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
68.9%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
68.9%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
68.9%	3	`l`
68.9%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes23.0ms (0.2%)

Memory

-5.8MiB live, 32.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes16.0ms (0.1%)

Memory

31.2MiB live, 31.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes15.0ms (0.1%)

Memory

-15.4MiB live, 23.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
21.5%	1	`J`
21.5%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
21.5%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
21.5%	1	`U`
21.5%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
21.5%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
21.5%	1	`K`
21.5%	1	`(/.f64 K #s(literal 2 binary64))`
21.5%	1	`l`
21.5%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5799432022345893	0.6092345613326638

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5799432022345893	0.6092345613326638

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5799432022345893	0.6092345613326638

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5799432022345893	0.6092345613326638

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.057343364942235436	0.016598026332784493

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5508378819714975e+121	8.610349088635816e+139
0.0ms	-inf	-1.8616128932429258e+84

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch41.0ms (0.4%)

Memory

0.4MiB live, 39.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.5075401651098036e+31	1.0169496664347751e+34
20.0ms	-641716.1198310961	-4082.529597173161

Samples

27.0ms

240×

valid

Compiler

Compiled 333 to 381 computations (-14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 5.0ms (24.1% of total)

ival-cos: 5.0ms (24.1% of total)

ival-exp: 4.0ms (19.3% of total)

ival-mult: 3.0ms (14.5% of total)

ival-add: 1.0ms (4.8% of total)

ival-sub: 1.0ms (4.8% of total)

ival-neg: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify37.0ms (0.3%)

Memory

-24.7MiB live, 41.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1629
1	281	1629
2	286	1629
3	289	1629
4	290	1629

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 5404319552844595/9007199254740992 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) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5404319552844595/9007199254740992 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) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5404319552844595/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5404319552844595/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) 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 -3602879701896397/72057594037927936 binary64)) (+.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(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 #s(literal -1/46080 binary64) (.f64 K K))) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) 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 -3602879701896397/72057594037927936 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 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) J) K) K J))) l)) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) 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 -3602879701896397/72057594037927936 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 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) J) K) K J))) l)) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 l l))) (.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 -3602879701896397/72057594037927936 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 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) J) K) K J))) l)) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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 U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* K 1/2)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (* (+ (* (* l l) 1/3) 2) (+ (* (* -1/8 J) (* K K)) J)) (.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))) l)) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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 U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 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) (fma.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 U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 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) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) l)) J U)) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) J U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
(if (<=.f64 l #s(literal -190000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) (if (<=.f64 l #s(literal 400000000000000021464648817573888 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) J U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) 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 (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) 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 5404319552844595/9007199254740992 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) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5404319552844595/9007199254740992 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) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U)))
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(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) l)) J U)) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) J U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
(if (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) #s(literal -inf.0 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(approx (+ ( (* l l) 1/3) 2) (.f64 #s(literal 1/3 binary64) (.f64 l l))) l)) J U)) (if (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) #s(literal 50000000000000000720297379362263692791555931121415631506856157467749463534563065813431628812863228040252718591648116768768 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) J U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
(if (<=.f64 l #s(literal -190000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) (if (<=.f64 l #s(literal 400000000000000021464648817573888 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) J U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* (+ (* (* l l) 1/3) 2) J) l) U) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) 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 (+ (* (- (exp l) (exp (neg l))) J) 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 (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J #s(literal 2 binary64)) l))))

soundness2.3s (20.5%)

Memory

7.0MiB live, 1 991.8MiB allocated

Rules

18 528×	`lower-fma.f64`
18 528×	`lower-fma.f32`
18 154×	`lower-fma.f64`
18 154×	`lower-fma.f32`
18 036×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	409	9328
1	1381	9238
2	4627	8728
0	8225	8222
0	312	11316
1	1032	11242
2	3587	10404
0	8253	9768
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37
0	60	542
0	90	516
1	334	516
2	2226	516
0	8533	513
0	52	339
0	89	317
1	286	317
2	1788	317
0	8597	314
0	67	603
0	101	577
1	400	577
2	2783	577
0	9585	560
0	358	10094
1	1180	10036
2	4259	9577
0	8168	8966
0	145	1758
1	453	1758
2	1465	1648
3	3571	1648
0	8160	1568

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
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 1 331 to 849 computations (36.2% saved)

preprocess132.0ms (1.2%)

Memory: 11.8MiB live, 245.8MiB allocated
Remove: (abs K)
Compiler: Compiled 1 678 to 486 computations (71% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.1s (19.2%)

explain240.0ms (2.2%)

preprocess90.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify56.0ms (0.5%)

localize85.0ms (0.8%)

series22.0ms (0.2%)

simplify201.0ms (1.8%)

rewrite140.0ms (1.3%)

eval50.0ms (0.5%)

prune15.0ms (0.1%)

simplify89.0ms (0.8%)

localize227.0ms (2.1%)

series119.0ms (1.1%)

simplify223.0ms (2%)

rewrite224.0ms (2%)

eval156.0ms (1.4%)

prune35.0ms (0.3%)

simplify174.0ms (1.6%)

localize236.0ms (2.1%)

series98.0ms (0.9%)

simplify222.0ms (2%)

rewrite266.0ms (2.4%)

eval241.0ms (2.2%)

prune66.0ms (0.6%)

simplify128.0ms (1.2%)

localize665.0ms (6%)

series88.0ms (0.8%)

simplify297.0ms (2.7%)

rewrite292.0ms (2.7%)

eval217.0ms (2%)

prune133.0ms (1.2%)

regimes187.0ms (1.7%)

regimes215.0ms (2%)

regimes42.0ms (0.4%)

regimes57.0ms (0.5%)

regimes33.0ms (0.3%)

regimes154.0ms (1.4%)

regimes31.0ms (0.3%)

regimes175.0ms (1.6%)

regimes23.0ms (0.2%)

regimes32.0ms (0.3%)

regimes25.0ms (0.2%)

regimes33.0ms (0.3%)

regimes9.0ms (0.1%)

regimes33.0ms (0.3%)

regimes120.0ms (1.1%)

regimes5.0ms (0%)

regimes70.0ms (0.6%)

regimes30.0ms (0.3%)

regimes23.0ms (0.2%)

regimes16.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (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%)

bsearch41.0ms (0.4%)

simplify37.0ms (0.3%)

soundness2.3s (20.5%)

preprocess132.0ms (1.2%)

end0.0ms (0%)

Profiling