Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze320.0ms (3%)

Memory

0.7MiB live, 480.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	7
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	8
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	9
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	10
46.9%	46.8%	53%	0.1%	0%	0%	0%	11
46.9%	46.8%	53%	0.1%	0%	0%	0%	12

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.8s (16.3%)

Memory

31.3MiB live, 2 120.3MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-mult: 381.0ms (35.1% of total)

ival-cos: 302.0ms (27.9% of total)

ival-div: 154.0ms (14.2% of total)

ival-pow2: 113.0ms (10.4% of total)

ival-sqrt: 58.0ms (5.3% of total)

ival-add: 53.0ms (4.9% of total)

exact: 14.0ms (1.3% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

explain272.0ms (2.5%)

Memory

-12.3MiB live, 529.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
35	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
31	0	-	-	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
0	0	-	-	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	126	(-3.022307436705745e-295 -6.763045290163617e+188 -8.218890009602193e-104)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) J)`
0	0	-	-	`U`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`
0	0	-	-	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`
0	0	-	-	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`
0	0	-	-	`J`
0	0	-	-	`(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) J)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	126	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	35	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	overflow	31
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	31
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`	overflow	66
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	66
`*.f64`	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`	*no**	31	0

Confusion

	Predicted +	Predicted -
+	66	0
-	95	95

Precision

0.40993788819875776

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	95	0	95

Precision?

0.40993788819875776

Recall?

1.0

Freqs

test

number	freq
0	95
1	130
2	31

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

131.0ms

512×

valid

Compiler

Compiled 251 to 55 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 49.0ms (51% of total)

ival-cos: 28.0ms (29.1% of total)

ival-div: 7.0ms (7.3% of total)

ival-pow2: 5.0ms (5.2% of total)

ival-sqrt: 3.0ms (3.1% of total)

ival-add: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

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

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

preprocess92.0ms (0.9%)

Memory

25.1MiB live, 104.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 014×	`neg-mul-1`
984×	`distribute-lft-neg-in`
852×	`lower-*.f32`
842×	`lower-*.f64`
842×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	228
1	182	216
2	603	216
3	2240	216
4	4090	216
5	6770	216
0	17	24
0	28	24
1	44	24
2	87	24
3	211	24
4	609	24
5	1121	24
6	1532	24
7	1595	24
8	1612	24
9	1623	24
10	1625	24
11	1625	24
12	1625	24
0	1625	24

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 27 to 17 computations (37% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

75.5%

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

Compiler

Compiled 27 to 17 computations (37% saved)

simplify52.0ms (0.5%)

Memory

-13.5MiB live, 60.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Rules

852×	`lower-*.f32`
842×	`lower-*.f64`
786×	`associate-*r/`
758×	`lower-/.f32`
754×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
0	28	110
1	44	110
2	87	110
3	211	110
4	609	110
5	1121	110
6	1532	110
7	1595	110
8	1612	110
9	1623	110
10	1625	110
11	1625	110
12	1625	110
0	1625	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)

Outputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J)
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)

localize84.0ms (0.8%)

Memory

14.4MiB live, 98.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.22265625	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	7.392500457280131	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	8.191849369917165	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))

Samples

65.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-cos: 30.0ms (55.3% of total)

ival-mult: 15.0ms (27.6% of total)

ival-div: 3.0ms (5.5% of total)

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

ival-pow2: 2.0ms (3.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.7%)

Memory

7.0MiB live, 80.1MiB allocated

Counts

6 → 156

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 U) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))) (taylor -inf J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))) (taylor -inf J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
#s(alt (* -2 J) (taylor -inf J) (#s(alt (.f64 #s(literal -2 binary64) J) (patch (.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))) (taylor -inf J) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf J) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))) (taylor -inf J) (#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
18.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
4.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify244.0ms (2.3%)

Memory

19.8MiB live, 321.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 354×	`lower-fma.f64`
19 354×	`lower-fma.f32`
6 716×	`lower-*.f64`
6 716×	`lower-*.f32`
4 982×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	3717
1	1153	3609
2	4535	3477
0	8519	3319

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 155

Calls

Call 1

Inputs
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
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(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
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(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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(* -1 U)
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
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(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))

Outputs
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J))) U) U (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64)))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (.f64 U U)))
1
#s(literal 1 binary64)
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(fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 J J) (.f64 J J)))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)))) (.f64 U U) #s(literal 1 binary64))
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(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) #s(literal 1/1024 binary64) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 J J) (.f64 J J))))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)))) (*.f64 U U) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
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(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)))) #s(literal -1/512 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) J)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 J J) (.f64 J J)))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) #s(literal 1/1024 binary64) (fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 J J) (.f64 J J)))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal -1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) J)
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 1/4 binary64) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 J J) (.f64 J J)))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) #s(literal 1/1024 binary64) (fma.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 J J) (.f64 J J)))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J))) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))

rewrite296.0ms (2.7%)

Memory

7.2MiB live, 394.6MiB allocated

Rules

3 552×	`lower-*.f32`
3 542×	`lower-*.f64`
3 418×	`lower-fma.f64`
3 418×	`lower-fma.f32`
2 050×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66

Stop Event

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

Counts

6 → 306

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))

Outputs
(.f64 (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (pow.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (*.f64 #s(literal 2 binary64) J))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) (neg.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) J) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)) (.f64 J (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))) J)
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) #s(literal -2 binary64)) (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J))
(.f64 (pow.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) J) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64))) #s(literal -2 binary64)))
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(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))

eval87.0ms (0.8%)

Memory: -7.9MiB live, 180.5MiB allocated
Compiler: Compiled 16 532 to 1 737 computations (89.5% saved)

prune72.0ms (0.7%)

Memory

10.7MiB live, 176.0MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	467	12	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	468	12	480

Accuracy

99.9%

Counts

480 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.2%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	64.5%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))) #s(literal -2 binary64))
	71.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
▶	71.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))))))
	9.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
	58.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶	36.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
▶	52.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	10.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	36.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶	55.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶	37.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 622 to 412 computations (33.8% saved)

simplify120.0ms (1.1%)

Memory

-28.0MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
cost-diff	0	(*.f64 J J)
cost-diff	0	(.f64 (.f64 J J) #s(literal -2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J))))
cost-diff	384	(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J)))
cost-diff	512	(.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))
cost-diff	640	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J))

Rules

4 272×	`lower-*.f32`
4 236×	`lower-*.f64`
4 044×	`lower-fma.f32`
4 040×	`lower-fma.f64`
2 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	481
0	91	481
1	162	463
2	358	444
3	929	426
4	2348	426
5	3150	426
6	5164	426
0	8424	417

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.7%)

Memory

-16.8MiB live, 259.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
accuracy	0.12890625	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
accuracy	6.436153752185247	(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
accuracy	27.94499419285012	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
accuracy	0.10546875	(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
accuracy	0.28515625	(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy	6.011775064840696	(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
accuracy	39.24917141582408	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
accuracy	0	(*.f64 J #s(literal -2 binary64))
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.12890625	(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
accuracy	28.505486873260526	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
accuracy	0	(neg.f64 U)
accuracy	39.89205258544532	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.3522712997917793	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))))))
accuracy	4.693062224972744	(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J)))
accuracy	7.392500457280131	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))))))
accuracy	8.191849369917165	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J)))))

Samples

116.0ms

256×

valid

Compiler

Compiled 435 to 52 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 47.0ms (52% of total)

ival-cos: 17.0ms (18.8% of total)

ival-div: 9.0ms (10% of total)

ival-add: 5.0ms (5.5% of total)

ival-sqrt: 5.0ms (5.5% of total)

ival-pow2: 5.0ms (5.5% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series97.0ms (0.9%)

Memory

35.0MiB live, 148.3MiB allocated

Counts

24 → 600

Calls

Call 1

Inputs
#s(alt (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)) (patch (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) (patch (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #<representation binary64>) () ())
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (patch (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 J #s(literal -2 binary64)) (patch (.f64 J #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 #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) (patch (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J J) #s(literal -2 binary64)) (patch (.f64 (.f64 J J) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 J J) (patch (.f64 J J) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (patch (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (patch (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (patch (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (patch (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())

Outputs
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (taylor 0 U) (#s(alt (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) (patch (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (taylor 0 U) (#s(alt (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) (patch (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (taylor 0 U) (#s(alt (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) (patch (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (taylor 0 U) (#s(alt (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) (patch (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 U) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (taylor 0 U) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (taylor 0 U) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K)))))) (taylor -inf J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K))))))) (taylor -inf J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K)))))))) (taylor -inf J) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J)))))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf J) (#s(alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (patch (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf J) (#s(alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (patch (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf J) (#s(alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (patch (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf J) (#s(alt (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (patch (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	K	@	inf	((* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (* 2 (* K -1/2)) (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (* (cos (* K 1/2)) -2) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J))
9.0ms	J	@	0	((* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (* 2 (* K -1/2)) (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (* (cos (* K 1/2)) -2) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J))
7.0ms	U	@	inf	((* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (* 2 (* K -1/2)) (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (* (cos (* K 1/2)) -2) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J))
6.0ms	K	@	0	((* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (* 2 (* K -1/2)) (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (* (cos (* K 1/2)) -2) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J))
6.0ms	K	@	-inf	((* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (* 2 (* K -1/2)) (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (* (cos (* K 1/2)) -2) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (pow (cos (* K 1/2)) 2) (/ (pow (cos (* K 1/2)) 2) U) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J)) (* (cos (* K 1/2)) J))

simplify221.0ms (2%)

Memory

-24.6MiB live, 265.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 392×	`lower-fma.f64`
12 392×	`lower-fma.f32`
9 044×	`lower-*.f64`
9 044×	`lower-*.f32`
3 788×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	14423
1	2235	13863
0	8431	13019

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 595

Calls

Call 1

Inputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))))))
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
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1
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(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))

Outputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64)))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (.f64 U U)))
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64)))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (.f64 U U)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64)))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (.f64 U U)))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (/.f64 #s(literal -2 binary64) U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64)))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (.f64 U U)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))) (*.f64 U U) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 6 binary64)))) #s(literal 1/1024 binary64) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64))))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))) (*.f64 U U) #s(literal 1 binary64))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(fma.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (.f64 (.f64 U U) #s(literal 1/64 binary64)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J) (.f64 J J))) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 U U)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 5 binary64)))) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J) (.f64 J J))) #s(literal 1/64 binary64))) (.f64 U U) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U)))
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
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(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))))))
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(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3))))))))
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U
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U
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U
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))
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(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (/.f64 #s(literal -2 binary64) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64) (/.f64 (neg.f64 U) (.f64 J J))) (.f64 J J))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64) (/.f64 (neg.f64 U) (.f64 J J))) (.f64 J J))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64) (/.f64 (neg.f64 U) (.f64 J J))) (.f64 J J))
(* -2 (pow J 2))
(.f64 (.f64 #s(literal -2 binary64) J) J)
(* -2 (pow J 2))
(.f64 (.f64 #s(literal -2 binary64) J) J)
(* -2 (pow J 2))
(.f64 (.f64 #s(literal -2 binary64) J) J)
(* -2 (pow J 2))
(.f64 (.f64 #s(literal -2 binary64) J) J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(pow J 2)
(*.f64 J J)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)))) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J))) #s(literal 1/4 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/1024 binary64)) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 6 binary64)))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64)))) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
(* J (cos (* 1/2 K)))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
(* J (cos (* 1/2 K)))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
(* J (cos (* 1/2 K)))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
(* J (cos (* 1/2 K)))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)

rewrite199.0ms (1.8%)

Memory

-13.6MiB live, 221.5MiB allocated

Rules

4 652×	`lower-/.f32`
4 644×	`lower-fma.f32`
4 642×	`lower-/.f64`
4 640×	`lower-fma.f64`
3 624×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	379
0	91	379
1	293	352
2	2026	332
0	8235	326

Stop Event

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

Counts

24 → 528

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J)
(.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(.f64 J (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) #s(literal 1/2 binary64))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) #s(literal 1/2 binary64))) (.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
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(/.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (.f64 J #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
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(/.f64 (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) #s(literal 1/2 binary64))))
(fma.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) #s(literal 1/2 binary64))) (.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (.f64 K #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) K)
(.f64 (.f64 #s(literal -1/2 binary64) K) #s(literal 2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 K #s(literal 2 binary64)))
(*.f64 K #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 K #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 K K (*.f64 #s(literal 0 binary64) K))))
(neg.f64 K)
(-.f64 #s(literal 0 binary64) K)
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 J U) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) U) #s(literal -1 binary64)) (pow.f64 (/.f64 J (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J))
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(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (neg.f64 U)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 U)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (neg.f64 U)))
(exp.f64 (.f64 (log.f64 (/.f64 U (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 J (*.f64 U U)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 J (.f64 U U)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 J U) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) U)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) U) #s(literal -1 binary64)) (pow.f64 (/.f64 J (*.f64 #s(literal -1/4 binary64) U)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 (/.f64 J (.f64 #s(literal -1/4 binary64) (.f64 U U))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U U) J))
(.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (/.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) U) J))
(.f64 (/.f64 U J) (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (.f64 U U))
(.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) J))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (*.f64 U U))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (.f64 #s(literal -1/4 binary64) (*.f64 U U)))
(.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (/.f64 (.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) J))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(.f64 #s(literal -1/4 binary64) (.f64 (.f64 U U) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(.f64 U (/.f64 (.f64 #s(literal -1/4 binary64) U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(.f64 U (.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(.f64 U (.f64 U (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
(pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 #s(literal -1/4 binary64) (.f64 U U)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) J))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))) (neg.f64 J))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 J)))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)))) (neg.f64 (neg.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) #s(literal 1 binary64))) (.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (.f64 (/.f64 (.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) J)
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 J))
(/.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U))) (neg.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) #s(literal 1 binary64)) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 #s(literal -1/4 binary64) (.f64 U U))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (neg.f64 J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 J (.f64 (/.f64 (.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 #s(literal -1/4 binary64) (.f64 U U)))))))
(/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 #s(literal -1/4 binary64) (.f64 U U)))))
(neg.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(neg.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (neg.f64 J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (neg.f64 J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J (.f64 #s(literal -1/4 binary64) (*.f64 U U))))) #s(literal -1 binary64)))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))

eval206.0ms (1.9%)

Memory: 11.3MiB live, 320.0MiB allocated
Compiler: Compiled 37 924 to 2 770 computations (92.7% saved)

prune267.0ms (2.5%)

Memory

16.8MiB live, 481.2MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1 180	29	1 209
Fresh	2	5	7
Picked	2	3	5
Done	0	0	0
Total	1 184	37	1 221

Accuracy

100.0%

Counts

1 221 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.2%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	71.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))))
	71.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
	64.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (*.f64 J #s(literal 2 binary64)))))))
	58.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ ( (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	9.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
▶	38.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
	29.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
✓	52.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	52.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
	29.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	14.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
	22.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	52.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))))
▶	10.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
	40.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
	36.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	40.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
✓	55.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
✓	37.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	25.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 J J) U))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
	27.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
	23.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
	36.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
	29.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	28.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)))
	4.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	23.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))))
	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
▶	30.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
	58.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal -2 binary64)))
	48.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))

Compiler

Compiled 1 674 to 1 041 computations (37.8% saved)

simplify144.0ms (1.3%)

Memory

19.9MiB live, 185.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))
cost-diff	0	(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	128	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
cost-diff	0	(fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
cost-diff	640	(.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))
cost-diff	0	#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)))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 J #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))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))))
cost-diff	384	(fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))
cost-diff	384	(/.f64 K #s(literal 2 binary64))
cost-diff	640	(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))

Rules

5 918×	`lower-*.f32`
5 884×	`lower-*.f64`
4 856×	`lower-fma.f32`
4 842×	`lower-fma.f64`
2 272×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	595
0	114	582
1	209	567
2	504	543
3	1596	543
4	4609	543
5	7978	543
0	8015	536

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (2.1%)

Memory

10.7MiB live, 365.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.28515625	(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy	3.7682572664721237	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
accuracy	16.22912685715216	(/.f64 (.f64 J J) (.f64 U U))
accuracy	56.26124404461761	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.10546875	(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U)
accuracy	0.1875	(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J)
accuracy	0.3522712997917793	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
accuracy	39.24917141582408	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
accuracy	0.109375	(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
accuracy	0.12890625	(.f64 (.f64 J #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))))
accuracy	28.505486873260526	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
accuracy	31.267966391252557	#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0	(*.f64 #s(literal -2 binary64) J)
accuracy	28.505486873260526	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
accuracy	28.713727667513606	#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))
accuracy	0.3522712997917793	(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	2.3806912464735968	(fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))
accuracy	7.392500457280131	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))))
accuracy	8.191849369917165	(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))

Samples

146.0ms

256×

valid

Compiler

Compiled 497 to 64 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-cos: 42.0ms (35.5% of total)

ival-mult: 39.0ms (33% of total)

ival-add: 10.0ms (8.5% of total)

ival-div: 9.0ms (7.6% of total)

const: 7.0ms (5.9% of total)

ival-pow2: 5.0ms (4.2% of total)

ival-sqrt: 4.0ms (3.4% of total)

exact: 1.0ms (0.8% of total)

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

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

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

series122.0ms (1.1%)

Memory

-21.4MiB live, 170.9MiB allocated

Counts

26 → 672

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	K	@	-inf	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ K 2) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* 2 (* K 1/2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (+ (* -1/46080 (* K K)) 1/384) (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) (/ (* J J) (* U U)) (pow (cos (* K 1/2)) 2))
11.0ms	J	@	0	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ K 2) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* 2 (* K 1/2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (+ (* -1/46080 (* K K)) 1/384) (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) (/ (* J J) (* U U)) (pow (cos (* K 1/2)) 2))
10.0ms	U	@	0	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ K 2) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* 2 (* K 1/2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (+ (* -1/46080 (* K K)) 1/384) (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) (/ (* J J) (* U U)) (pow (cos (* K 1/2)) 2))
10.0ms	K	@	inf	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ K 2) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* 2 (* K 1/2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (+ (* -1/46080 (* K K)) 1/384) (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) (/ (* J J) (* U U)) (pow (cos (* K 1/2)) 2))
7.0ms	U	@	-inf	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ K 2) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* K 1/2))) (* J -2) (cos (* K 1/2)) (* 2 (* K 1/2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (+ (* -1/46080 (* K K)) 1/384) (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) (/ (* J J) (* U U)) (pow (cos (* K 1/2)) 2))

simplify303.0ms (2.8%)

Memory

30.9MiB live, 275.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 506×	`lower-fma.f64`
12 506×	`lower-fma.f32`
9 396×	`lower-*.f64`
9 396×	`lower-*.f32`
3 766×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	15035
1	2326	14702
0	8608	13764

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 653

Calls

Call 1

Inputs
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U)
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1))
U
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
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U
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U
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U
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U
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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-1
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(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
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(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
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(/ (+ 1/2 (* 1/2 (cos K))) U)
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(/ (+ 1/2 (* 1/2 (cos K))) U)
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(* -2 J)
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 J)
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1
(+ 1 (* -1/8 (pow K 2)))
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K
K
K
K
1
(+ 1 (* -1/4 (pow K 2)))
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(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
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(* -1 U)
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
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(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -1 U)
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) U)
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) U)
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) U)
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
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(* -1 U)
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
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(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2)))))
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2)))))
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2)))))
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) (/ U (pow J 2))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))

Outputs
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
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U
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(.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (.f64 J J))) (*.f64 J J))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (.f64 J J))) (*.f64 J J))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (.f64 J J))) (*.f64 J J))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (.f64 U U))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (.f64 U U))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/128 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/128 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (/.f64 (.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/1024 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U)
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))

rewrite283.0ms (2.6%)

Memory

-26.9MiB live, 203.2MiB allocated

Rules

5 082×	`lower-*.f32`
5 048×	`lower-*.f64`
4 624×	`lower-/.f32`
4 614×	`lower-/.f64`
3 202×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	456
0	114	460
1	387	420
2	2516	412
0	8856	412

Stop Event

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

Counts

26 → 728

Calls

Call 1

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

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

eval404.0ms (3.7%)

Memory: 4.0MiB live, 268.9MiB allocated
Compiler: Compiled 43 104 to 3 804 computations (91.2% saved)

prune449.0ms (4.2%)

Memory

9.2MiB live, 396.5MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1 396	13	1 409
Fresh	18	11	29
Picked	3	2	5
Done	0	3	3
Total	1 417	29	1 446

Accuracy

100.0%

Counts

1 446 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.2%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	71.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
	52.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ ( (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶	71.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))))
▶	32.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶	64.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
	38.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
✓	52.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	38.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
	52.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))))
▶	10.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
	10.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
	40.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
	40.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
✓	55.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
	16.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
▶	12.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	37.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	23.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
	29.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	28.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)))
	23.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))))
	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
✓	30.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))

Compiler

Compiled 1 231 to 758 computations (38.4% saved)

simplify171.0ms (1.6%)

Memory

-0.2MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
cost-diff	320	(/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	256	(.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))
cost-diff	320	(*.f64 #s(literal 1 binary64) K)
cost-diff	512	(fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))))
cost-diff	384	(fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))
cost-diff	640	(/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))

Rules

5 820×	`lower-*.f32`
5 800×	`lower-fma.f32`
5 790×	`lower-fma.f64`
5 784×	`lower-*.f64`
2 574×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	647
0	121	641
1	235	631
2	628	608
3	2097	603
4	4732	601
0	8163	579

Stop Event

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

Calls

Call 1

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

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

localize380.0ms (3.5%)

Memory

8.1MiB live, 374.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.6301040100281536	(fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
accuracy	7.184994997730265	(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U)
accuracy	7.392500457280131	(.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
accuracy	8.191849369917165	(sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)))
accuracy	3.7682572664721237	(.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))
accuracy	4.500306261189407	(.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)))
accuracy	6.3122661801934665	(/.f64 J (*.f64 U U))
accuracy	56.26124404461761	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	7.330000457280131	(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
accuracy	8.17669591166666	(sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
accuracy	16.654908994244252	(/.f64 (.f64 U U) (.f64 J J))
accuracy	22.80167935348738	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
accuracy	0	(neg.f64 U)
accuracy	3.7682572664721237	(.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
accuracy	33.289346296240176	#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))
accuracy	56.26124404461761	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.3522712997917793	(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	2.3806912464735968	(fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))
accuracy	7.392500457280131	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))))
accuracy	8.191849369917165	(sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))

Samples

206.0ms

256×

valid

Compiler

Compiled 589 to 69 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-cos: 67.0ms (46.6% of total)

ival-mult: 43.0ms (29.9% of total)

ival-div: 12.0ms (8.3% of total)

ival-add: 9.0ms (6.3% of total)

ival-sqrt: 7.0ms (4.9% of total)

ival-pow2: 5.0ms (3.5% of total)

exact: 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)

series119.0ms (1.1%)

Memory

-11.1MiB live, 263.2MiB allocated

Counts

27 → 792

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) #<representation binary64>) () ())
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#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())
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#s(alt (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)) (patch (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (patch (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (patch #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
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#s(alt (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 U U) (.f64 J J)) (patch (/.f64 (.f64 U U) (.f64 J J)) #<representation binary64>) () ())
#s(alt (/.f64 J (.f64 U U)) (patch (/.f64 J (.f64 U U)) #<representation binary64>) () ())
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#s(alt (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 U) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) (patch (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	U	@	0	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (cos (* K 1/2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (* 1 K) (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (* (* -2 J) (cos (* K 1/2)))) (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* U U) (* J J)) (/ J (* U U)) (* J (* (/ J (* U U)) -2)) (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1))
8.0ms	J	@	inf	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (cos (* K 1/2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (* 1 K) (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (* (* -2 J) (cos (* K 1/2)))) (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* U U) (* J J)) (/ J (* U U)) (* J (* (/ J (* U U)) -2)) (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1))
8.0ms	K	@	-inf	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (cos (* K 1/2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (* 1 K) (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (* (* -2 J) (cos (* K 1/2)))) (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* U U) (* J J)) (/ J (* U U)) (* J (* (/ J (* U U)) -2)) (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1))
7.0ms	K	@	inf	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (cos (* K 1/2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (* 1 K) (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (* (* -2 J) (cos (* K 1/2)))) (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* U U) (* J J)) (/ J (* U U)) (* J (* (/ J (* U U)) -2)) (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1))
7.0ms	K	@	0	((/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (* (* (* -2 J) (cos (* K 1/2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (cos (* K 1/2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (* 1 K) (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (* (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (* (* -2 J) (cos (* K 1/2)))) (sqrt (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1)) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* U U) (* J J)) (/ J (* U U)) (* J (* (/ J (* U U)) -2)) (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) (+ (* (* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U) U) 1))

simplify308.0ms (2.9%)

Memory

5.5MiB live, 365.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 146×	`lower-fma.f64`
13 146×	`lower-fma.f32`
9 706×	`lower-*.f64`
9 706×	`lower-*.f32`
4 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	21029
1	2625	20471
0	8495	19010

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 771

Calls

Call 1

Inputs
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -2 J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))
(* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (pow U 2)) U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(* -2 (/ (pow J 2) (pow U 2)))
(* -2 (/ (pow J 2) (pow U 2)))
(* -2 (/ (pow J 2) (pow U 2)))
(* -2 (/ (pow J 2) (pow U 2)))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* -1 U)
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(* -2 J)
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
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(- (* -2 (/ (pow J 2) (pow U 2))) 1)
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(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)
K
K
K
K
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(/ 1/4 (pow J 2))
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(+ (* (pow K 2) (+ (* (pow K 2) (+ (* 17/11520 (/ (pow K 2) (pow J 2))) (* 1/96 (/ 1 (pow J 2))))) (* 1/16 (/ 1 (pow J 2))))) (* 1/4 (/ 1 (pow J 2))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 J)
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))
(* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (/ U (pow J 2))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(/ 1/4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(* -2 (/ (pow J 2) (pow U 2)))
(* -2 (/ (pow J 2) (pow U 2)))
(* -2 (/ (pow J 2) (pow U 2)))
(* -2 (/ (pow J 2) (pow U 2)))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))

Outputs
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (.f64 (.f64 U U) #s(literal 1/64 binary64)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J) (.f64 J J))) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 U U)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 5 binary64)))) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J) (.f64 J J))) #s(literal 1/64 binary64))) (.f64 U U) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 5 binary64)))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J J) J)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (.f64 U U)))
(* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) U)
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) (*.f64 U U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) (*.f64 U U))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) (*.f64 U U))
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (.f64 (.f64 U U) #s(literal 1/64 binary64)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J) (.f64 J J))) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 U U)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 J #s(literal 5 binary64)))) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J) (.f64 J J))) #s(literal 1/64 binary64))) (.f64 U U) (.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal -1/4 binary64))) (*.f64 U U)))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(fma.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) J)) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) J)) (.f64 U U) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 J J) J))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) J)) (.f64 U U) (.f64 #s(literal -2 binary64) J))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) (*.f64 U U) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal 4 binary64)))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) (.f64 U U) #s(literal 1 binary64))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (.f64 U U))
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))
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(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) (.f64 U U)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))) U)
(* -1 U)
(neg.f64 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64)) U)
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))) U)
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64)))) U)
U
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(fma.f64 (.f64 U #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (*.f64 U U)) U)
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(fma.f64 (.f64 U #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (*.f64 U U)) U)
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(fma.f64 (.f64 U #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J J)) (*.f64 U U)) U)
-1
#s(literal -1 binary64)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) #s(literal -1 binary64))
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) #s(literal -1 binary64))
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 U U)) #s(literal -1 binary64))
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) (.f64 U U)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) U)
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) (.f64 U U)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) U)
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) (.f64 U U)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))) U)
(* -1 U)
(neg.f64 U)
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64))) U)
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
(.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)))) U)
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) U)
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (/.f64 (.f64 (.f64 J J) J) (pow.f64 U #s(literal 4 binary64)))) U)
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (/.f64 (.f64 (.f64 J J) J) (pow.f64 U #s(literal 4 binary64))))) U)
-1
#s(literal -1 binary64)
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) #s(literal -1 binary64))
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) #s(literal -1 binary64))
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
(fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 U U)) #s(literal -1 binary64))
U
(* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))
(fma.f64 (.f64 U #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (.f64 U U)) U)
(* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))
(fma.f64 (.f64 U #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (.f64 U U)) U)
(* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))))
(fma.f64 (.f64 U #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) (.f64 U U)) U)
(* -1 U)
(neg.f64 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64)) U)
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))) U)
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64)))) U)
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) (.f64 U U)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) U)
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) (.f64 U U)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) U)
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) (.f64 U U)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))) U)
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J J)) (.f64 U U)) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) U)
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
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(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
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(* -2 J)
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(* -2 J)
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(* -2 J)
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(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(.f64 (neg.f64 J) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/1024 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) U) U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal 1/1024 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1/128 binary64) (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) U) U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)))) #s(literal 1 binary64))
(/ (pow U 2) (pow J 2))
(/.f64 (.f64 U U) (.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (.f64 U U) (.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (.f64 U U) (.f64 J J))
(/ (pow U 2) (pow J 2))
(/.f64 (.f64 U U) (.f64 J J))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(* -2 (/ (pow J 2) (pow U 2)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (*.f64 U U))
(* -2 (/ (pow J 2) (pow U 2)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (*.f64 U U))
(* -2 (/ (pow J 2) (pow U 2)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (*.f64 U U))
(* -2 (/ (pow J 2) (pow U 2)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (*.f64 U U))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(.f64 (/.f64 U (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))

rewrite267.0ms (2.5%)

Memory

-7.7MiB live, 269.9MiB allocated

Rules

4 888×	`lower-*.f32`
4 852×	`lower-*.f64`
4 570×	`lower-/.f32`
4 560×	`lower-/.f64`
2 984×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	502
0	121	494
1	397	466
2	2324	455
0	8518	448

Stop Event

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

Counts

27 → 671

Calls

Call 1

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

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

eval447.0ms (4.1%)

Memory: 15.0MiB live, 480.4MiB allocated
Compiler: Compiled 50 770 to 3 918 computations (92.3% saved)

prune505.0ms (4.7%)

Memory

-6.2MiB live, 642.0MiB allocated

Pruning

33 alts after pruning (25 fresh and 8 done)

	Pruned	Kept	Total
New	1 562	8	1 570
Fresh	2	17	19
Picked	2	3	5
Done	0	5	5
Total	1 566	33	1 599

Accuracy

100.0%

Counts

1 599 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.2%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	71.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
	52.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	43.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
✓	32.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
	8.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
	9.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
	71.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U (.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal 1/2 binary64)) J) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
✓	64.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
	10.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
	33.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
	38.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
✓	52.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
	38.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
	52.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))))
	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
	40.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
	40.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
✓	55.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
	16.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
✓	12.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	37.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	23.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
	29.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	28.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)))
	23.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))))
	12.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
	28.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
✓	30.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))

Compiler

Compiled 1 972 to 706 computations (64.2% saved)

regimes124.0ms (1.1%)

Memory

-6.4MiB live, 276.3MiB allocated

Counts

63 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
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(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

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

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

Calls

6 calls:

25.0ms	K
21.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
19.0ms	(/.f64 K #s(literal 2 binary64))
19.0ms	U
18.0ms	J

Results

Accuracy	Segments	Branch
89.4%	2	`J`
75.5%	1	`K`
86.9%	2	`U`
99.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
75.5%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
75.5%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes22.0ms (0.2%)

Memory

18.8MiB live, 56.2MiB allocated

Counts

60 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 J J) U))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ ( (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ ( (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (*.f64 J #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U (.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal 1/2 binary64)) J) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))

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

Calls

1 calls:

18.0ms

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

Results

Accuracy	Segments	Branch
99.0%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes20.0ms (0.2%)

Memory

11.6MiB live, 49.0MiB allocated

Counts

55 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 J J) U))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ ( (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ ( (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (*.f64 J #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U (.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal 1/2 binary64)) J) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

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

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

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
95.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes23.0ms (0.2%)

Memory

5.9MiB live, 46.9MiB allocated

Counts

54 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 J J) U))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ ( (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ ( (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (*.f64 J #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))))

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

Calls

1 calls:

19.0ms

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

Results

Accuracy	Segments	Branch
95.1%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes37.0ms (0.3%)

Memory

-22.2MiB live, 91.2MiB allocated

Counts

52 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 J J) U))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ ( (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ ( (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (*.f64 J #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal -2 binary64)))

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

Calls

2 calls:

16.0ms

15.0ms

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

Results

Accuracy	Segments	Branch
85.4%	3	`J`
91.0%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes23.0ms (0.2%)

Memory

3.5MiB live, 43.5MiB allocated

Counts

51 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 J J) U))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ ( (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ ( (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (*.f64 J #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (.f64 (.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) U) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 U U)) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) (*.f64 U U))))

Outputs

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

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

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

Calls

1 calls:

20.0ms

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

Results

Accuracy	Segments	Branch
89.2%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes29.0ms (0.3%)

Memory

-7.5MiB live, 68.5MiB allocated

Counts

40 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 J J) U))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ ( (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ ( (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))

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

Calls

2 calls:

13.0ms

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

12.0ms

Results

Accuracy	Segments	Branch
72.4%	4	`U`
90.6%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes25.0ms (0.2%)

Memory

28.1MiB live, 65.9MiB allocated

Counts

37 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 #s(literal -1/24 binary64) (/.f64 (.f64 J J) U))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J (.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 #s(approx (cos ( K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))

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

Calls

2 calls:

12.0ms

10.0ms

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

Results

Accuracy	Segments	Branch
76.2%	3	`J`
87.8%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes53.0ms (0.5%)

Memory

12.9MiB live, 126.2MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 U (/.f64 U J)) (.f64 J #s(literal 1/4 binary64))) K) K (fma.f64 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))

Outputs

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

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

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

Calls

5 calls:

15.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
8.0ms	K
8.0ms	J
8.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
55.7%	2	`J`
49.3%	3	`K`
49.3%	3	`(/.f64 K #s(literal 2 binary64))`
58.5%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
72.6%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes16.0ms (0.1%)

Memory

0.4MiB live, 39.6MiB allocated

Counts

22 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 J #s(literal 1/4 binary64))) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))

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

Calls

2 calls:

8.0ms

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

7.0ms

Results

Accuracy	Segments	Branch
53.8%	4	`U`
69.4%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes21.0ms (0.2%)

Memory

-31.4MiB live, 19.0MiB allocated

Counts

18 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 #s(approx ( (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (.f64 (fma.f64 (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 J #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #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)))))

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

Calls

1 calls:

19.0ms

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

Results

Accuracy	Segments	Branch
63.3%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes4.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

7 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
63.2%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes4.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

6 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
63.2%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes6.0ms (0.1%)

Memory

-25.3MiB live, 14.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))

Calls

3 calls:

2.0ms

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

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
51.9%	2	`J`
40.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
52.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Calls

6 calls:

1.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	K
1.0ms	U
1.0ms	J

Results

Accuracy	Segments	Branch
37.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
37.7%	1	`K`
37.7%	1	`(/.f64 K #s(literal 2 binary64))`
37.7%	1	`U`
37.7%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
37.7%	1	`J`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.458854782399103e+304	+inf
0.0ms	-inf	-8.651541592780563e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.458854782399103e+304	+inf
0.0ms	-3.259979717664403e+221	-2.00320993753311e+218
0.0ms	-inf	-8.651541592780563e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.458854782399103e+304	+inf
0.0ms	-inf	-8.651541592780563e+306

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	9.458854782399103e+304	+inf
0.0ms	7.785537241725652e-168	3.793287784728275e-145
0.0ms	-5.247728276387071e-64	-1.6592690187925048e-71
0.0ms	-3.053917374209041e+300	-5.317768987989324e+292

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	9.458854782399103e+304	+inf
0.0ms	7.785537241725652e-168	3.793287784728275e-145
0.0ms	-3.053917374209041e+300	-5.317768987989324e+292

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.458854782399103e+304	+inf
0.0ms	-3.053917374209041e+300	-5.317768987989324e+292

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

-37.3MiB live, 2.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	9.458854782399103e+304	+inf
0.0ms	7.785537241725652e-168	3.793287784728275e-145
0.0ms	-1.0201670301433093e-6	-5.760017911337882e-12
1.0ms	-3.053917374209041e+300	-5.317768987989324e+292

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	9.458854782399103e+304	+inf
0.0ms	-1.0925525619714817e-185	-3.3011438325775146e-196
0.0ms	-1.0201670301433093e-6	-5.760017911337882e-12
0.0ms	-3.053917374209041e+300	-5.317768987989324e+292

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-4.420914403204009e-222	1.8194592872059764e-226
0.0ms	-3.053917374209041e+300	-5.317768987989324e+292

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.420914403204009e-222	1.8194592872059764e-226
0.0ms	-5.247728276387071e-64	-1.6592690187925048e-71
0.0ms	-3.053917374209041e+300	-5.317768987989324e+292

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.420914403204009e-222	1.8194592872059764e-226
0.0ms	-2.353607064497301e-58	-6.120288572333513e-61
0.0ms	-3.053917374209041e+300	-5.317768987989324e+292

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.420914403204009e-222	1.8194592872059764e-226
0.0ms	-2.353607064497301e-58	-6.120288572333513e-61
0.0ms	-8.651541592780563e+306	-1.545466025098247e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.420914403204009e-222	1.8194592872059764e-226
0.0ms	-2.353607064497301e-58	-6.120288572333513e-61
0.0ms	-8.651541592780563e+306	-1.545466025098247e+305

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch19.0ms (0.2%)

Memory

1.4MiB live, 40.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.6029573753264829e+38	2.707852897469291e+40

Samples

12.0ms

112×

valid

Compiler

Compiled 142 to 100 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (32.3% of total)

ival-cos: 2.0ms (21.5% of total)

ival-div: 1.0ms (10.8% of total)

ival-sqrt: 1.0ms (10.8% of total)

ival-pow2: 1.0ms (10.8% of total)

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

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

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

exact: 0.0ms (0% of total)

simplify25.0ms (0.2%)

Memory

9.7MiB live, 50.4MiB allocated

Algorithm

1×	egg-herbie

Rules

66×	`*-commutative_binary64`
14×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	3337
1	261	3337
2	270	3337
3	276	3337
4	279	3337
5	280	3337

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -200000000000000009320361434964139513681017161989875372284196091603736556264617259914553542442839142464206795319197097973063452333201379618272124419498528688117486025473463244379897441179011047665291947154312048556870991872 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) U) (/ 1/2 J)) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U (.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K)))) #s(literal 1/2 binary64)) J) U #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (.f64 (/.f64 (.f64 U #s(literal 1/2 binary64)) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) U) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Outputs
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(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -6511732844609233/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 #s(literal -2 binary64) J))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -6511732844609233/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -6511732844609233/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 J #s(literal 179999999999999984614178123333712740352 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))))
(if (<=.f64 J #s(literal 179999999999999984614178123333712740352 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness1.4s (13.2%)

Memory

-24.7MiB live, 1 590.3MiB allocated

Rules

19 354×	`lower-fma.f64`
19 354×	`lower-fma.f32`
12 506×	`lower-fma.f64`
12 506×	`lower-fma.f32`
12 392×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	14423
1	2235	13863
0	8431	13019
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66
0	82	502
0	121	494
1	397	466
2	2324	455
0	8518	448
0	360	3717
1	1153	3609
2	4535	3477
0	8519	3319
0	57	379
0	91	379
1	293	352
2	2026	332
0	8235	326
0	69	456
0	114	460
1	387	420
2	2516	412
0	8856	412
0	705	15035
1	2326	14702
0	8608	13764

Stop Event

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

Compiler

Compiled 3 217 to 1 243 computations (61.4% saved)

preprocess132.0ms (1.2%)

Memory

-1.1MiB live, 314.2MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 4 072 to 526 computations (87.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze320.0ms (3%)

sample1.8s (16.3%)

explain272.0ms (2.5%)

preprocess92.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify52.0ms (0.5%)

localize84.0ms (0.8%)

series78.0ms (0.7%)

simplify244.0ms (2.3%)

rewrite296.0ms (2.7%)

eval87.0ms (0.8%)

prune72.0ms (0.7%)

simplify120.0ms (1.1%)

localize179.0ms (1.7%)

series97.0ms (0.9%)

simplify221.0ms (2%)

rewrite199.0ms (1.8%)

eval206.0ms (1.9%)

prune267.0ms (2.5%)

simplify144.0ms (1.3%)

localize226.0ms (2.1%)

series122.0ms (1.1%)

simplify303.0ms (2.8%)

rewrite283.0ms (2.6%)

eval404.0ms (3.7%)

prune449.0ms (4.2%)

simplify171.0ms (1.6%)

localize380.0ms (3.5%)

series119.0ms (1.1%)

simplify308.0ms (2.9%)

rewrite267.0ms (2.5%)

eval447.0ms (4.1%)

prune505.0ms (4.7%)

regimes124.0ms (1.1%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes23.0ms (0.2%)

regimes37.0ms (0.3%)

regimes23.0ms (0.2%)

regimes29.0ms (0.3%)

regimes25.0ms (0.2%)

regimes53.0ms (0.5%)

regimes16.0ms (0.1%)

regimes21.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch19.0ms (0.2%)

simplify25.0ms (0.2%)

soundness1.4s (13.2%)

preprocess132.0ms (1.2%)

end0.0ms (0%)

Profiling