Metrics for Maksimov and Kolovsky, Equation (3)

analyze293.0ms (2.1%)

Memory

22.4MiB live, 473.0MiB 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)

sample1.6s (11.6%)

Memory

18.7MiB live, 2 499.2MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 956.0ms

ival-mult: 389.0ms (40.7% of total)

ival-cos: 205.0ms (21.5% of total)

ival-div: 145.0ms (15.2% of total)

ival-pow2: 85.0ms (8.9% of total)

ival-sqrt: 73.0ms (7.6% of total)

ival-add: 39.0ms (4.1% of total)

exact: 11.0ms (1.2% of total)

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

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess120.0ms (0.9%)

Memory

10.2MiB live, 108.0MiB 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 #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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))

Symmetry

(abs U)

(abs K)

(negabs J)

explain265.0ms (1.9%)

Memory

-17.8MiB live, 491.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
39	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))))`
34	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	132	(1.89554888673009e+293 4.630065959782364e+58 1.0199193242178221e-117)	-	`(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	132	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	39	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	34
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	34
↳	`(+.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	73
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	73
`*.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**	34	0

Confusion

	Predicted +	Predicted -
+	73	0
-	99	84

Precision

0.42441860465116277

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	99	0	84

Precision?

0.42441860465116277

Recall?

1.0

Freqs

test

number	freq
0	84
1	139
2	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 15.0ms (31.4% of total)

ival-cos: 14.0ms (29.3% of total)

ival-div: 7.0ms (14.6% of total)

ival-pow2: 5.0ms (10.5% of total)

ival-sqrt: 3.0ms (6.3% of total)

ival-add: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(.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

▶

72.9%

(*.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)

simplify58.0ms (0.4%)

Memory

30.6MiB live, 68.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize87.0ms (0.6%)

Memory

-16.2MiB live, 74.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	accuracy	87.5%	(.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)))))
✓	accuracy	85.8%	(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

48.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 17.0ms (46.7% of total)

ival-mult: 10.0ms (27.5% of total)

ival-div: 3.0ms (8.2% of total)

ival-sqrt: 2.0ms (5.5% of total)

ival-pow2: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.5%)

Memory

-9.7MiB live, 61.6MiB 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 (* -1 U) (taylor 0 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 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) (taylor 0 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 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)))))) (taylor 0 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 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)))))))) (taylor 0 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 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#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 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 K) (#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>) () ())) ())
#s(alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor 0 K) (#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>) () ())) ())
#s(alt (+ (* 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)))))) (taylor 0 K) (#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>) () ())) ())
#s(alt (+ (* 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)))))))))) (taylor 0 K) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#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>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#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

39 calls:

Time	Variable		Point	Expression
23.0ms	K	@	0	(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
16.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (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))))
3.0ms	J	@	0	(* -2 J)
2.0ms	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

simplify732.0ms (5.3%)

Memory

7.3MiB live, 881.8MiB 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	4514	3477
0	8499	3319

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 155

Calls

Call 1

Inputs
(* -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))))
(* 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))))
(* -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 (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))))))))))))
(+ (* -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 (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))))))))
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(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(* -2 (* J (cos (* 1/2 K))))
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(+ (* -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)
(* 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))
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)))
(* -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)))
(* -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 (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 (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -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))))))))
(* -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 (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)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
1
(+ 1 (* 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)))))))
(* 1/2 (/ 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))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* 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))))))
(* -1 (* 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)))))))
(* 1/2 (/ 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
(+ 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)))))))
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)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (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)))))))) (* 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)))))))))))))
(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))))))
(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))))
(* 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))))
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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))))
(* 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))))
(* 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))))
(* 1/4 (/ (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))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 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))))))))))
(* 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))))
(* 1/4 (/ (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))))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 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))))))
(-.f64 (.f64 (.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (.f64 J J) (.f64 U (*.f64 U U))))))) U)
(+ (* -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))))))))
(-.f64 (.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (.f64 U (.f64 U U))) (.f64 #s(literal -4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))) U)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))
(.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 U U) (.f64 U U))) (.f64 (.f64 (.f64 J J) (.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))
(* 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 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (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 #s(literal 1/2 binary64) K)) #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 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))
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(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)))
(+ (* 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))))))
(fma.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/96 binary64))) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64))))
(+ (* 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))))))))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)) (.f64 (.f64 K K) (.f64 (.f64 #s(literal -1/4 binary64) (.f64 K K)) (fma.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -17/2880 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (.f64 U U) #s(literal 1/4 binary64)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))

rewrite281.0ms (2%)

Memory

0.7MiB live, 483.6MiB allocated

Algorithm

1×	batch-egg-rewrite

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
(neg.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(neg.f64 (.f64 (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U 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 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U 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 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (fma.f64 (/.f64 (.f64 U 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 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U 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 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 J)) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (.f64 J (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))))
(.f64 (.f64 J #s(literal 2 binary64)) (.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
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(.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) U) U)
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(.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
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(.f64 (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
(.f64 (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
(.f64 (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (.f64 J #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)))
(.f64 (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) U)))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) J) (/.f64 U (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) J) (/.f64 (neg.f64 U) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
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(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 U J))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (neg.f64 U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
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(.f64 (/.f64 U (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) J))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (neg.f64 U) J))
(.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) U))
(.f64 (/.f64 (neg.f64 U) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) J))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (neg.f64 U))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 U))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 U (.f64 J #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))))

eval66.0ms (0.5%)

Memory: 16.9MiB live, 173.1MiB allocated
Compiler: Compiled 16 532 to 1 763 computations (89.3% saved)

prune74.0ms (0.5%)

Memory

-19.7MiB live, 178.4MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	466	13	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	13	480

Accuracy

100.0%

Counts

480 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #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)))))
	61.1%	(.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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
▶	69.2%	(.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 (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.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)))))))))))
	53.1%	(.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 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 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
▶	16.2%	(.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))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
▶	48.8%	(.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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
▶	59.0%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	37.6%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (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)))))
	48.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	31.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
	14.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
	49.7%	#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 #s(literal -2 binary64) J)))
▶	37.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 680 to 444 computations (34.7% saved)

simplify168.0ms (1.2%)

Memory

-3.8MiB live, 198.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 154×	`lower-*.f32`
3 112×	`lower-*.f64`
2 496×	`lower-fma.f32`
2 492×	`lower-fma.f64`
1 918×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	663
0	103	650
1	201	596
2	507	538
3	1310	538
4	3636	538
5	3822	538
6	4584	538
7	6923	538
8	7404	538
9	7629	538
0	8395	525

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

localize226.0ms (1.6%)

Memory

-1.6MiB live, 395.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.3%	(fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
✓	accuracy	87.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
✓	accuracy	85.8%	(/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))
✓	accuracy	85.8%	(sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	87.5%	(.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 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓	accuracy	17.3%	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓	accuracy	87.5%	(.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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
✓	accuracy	85.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	81.9%	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	74.2%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	37.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
✓	accuracy	99.5%	(+.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	92.7%	(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.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))))))))
✓	accuracy	87.5%	(.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 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.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)))))))))))
✓	accuracy	85.8%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.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))))))))))

Samples

117.0ms

256×

valid

Compiler

Compiled 622 to 57 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 34.0ms (38.5% of total)

ival-cos: 23.0ms (26% of total)

ival-div: 13.0ms (14.7% of total)

ival-sqrt: 8.0ms (9.1% of total)

ival-add: 6.0ms (6.8% of total)

ival-pow2: 2.0ms (2.3% 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)

series92.0ms (0.7%)

Memory

-3.5MiB live, 159.6MiB allocated

Counts

24 → 648

Calls

Call 1

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

Outputs
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (.f64 (.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))))))) (patch (.f64 (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (.f64 (.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))))))) (patch (.f64 (.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))))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (.f64 (.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))))))) (patch (.f64 (.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))))))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor 0 K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))) (taylor 0 K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 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))))))) (taylor 0 K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 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))))))))))) (taylor 0 K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf K) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2)) (taylor 0 J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2)) (taylor 0 J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2)) (taylor 0 J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())

Calls

162 calls:

Time	Variable		Expression
9.0ms	J	@	(sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))
1.0ms	U	@	(/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))
1.0ms	J	@	(* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))
1.0ms	U	@	(sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))
1.0ms	J	@	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))

simplify802.0ms (5.8%)

Memory

2.0MiB live, 612.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 534×	`lower-fma.f64`
12 534×	`lower-fma.f32`
9 368×	`lower-*.f64`
9 368×	`lower-*.f32`
4 014×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	720	17437
1	2355	16917
0	8459	15788

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 632

Calls

Call 1

Inputs
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
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(* 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)
1
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1
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(+ (* 1/4 (/ U (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ U (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ U (pow J 2))) (+ (* 1/192 (/ U (pow J 2))) (* 1/4 (+ (* -1/16 (/ U (pow J 2))) (* 1/48 (/ U (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ U (pow J 2))) (* 1/48 (/ U (pow J 2))))))))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* 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))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* 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))))))))))
(* -1 (* 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))))))))
(* -1 (* 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)))))))))
(* -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))))))))))))
(+ (* -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 (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 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)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -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))))
(* -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 (* 1/4 (/ (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)))))))
(* 1/4 (/ (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))))
(* 1/4 (/ (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 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 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 (+ (* 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)))))))))))
(+ 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 (* 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 (* 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)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
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
(+ 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
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) J))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
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U
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(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 J J)) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 J J)) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 J J)) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64))

rewrite530.0ms (3.8%)

Memory

14.6MiB live, 435.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 614×	`lower-/.f32`
4 602×	`lower-/.f64`
4 434×	`lower-fma.f32`
4 430×	`lower-fma.f64`
3 598×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	426
0	103	380
1	331	337
2	2113	333
0	8208	333

Stop Event

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

Counts

24 → 904

Calls

Call 1

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

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

eval450.0ms (3.2%)

Memory: 48.1MiB live, 534.4MiB allocated
Compiler: Compiled 62 816 to 5 600 computations (91.1% saved)

prune336.0ms (2.4%)

Memory

-34.2MiB live, 667.9MiB allocated

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1 768	29	1 797
Fresh	7	1	8
Picked	4	1	5
Done	0	0	0
Total	1 779	31	1 810

Accuracy

100.0%

Counts

1 810 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #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)))))
	48.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	48.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	16.2%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	69.2%	(.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 (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
	2.3%	(.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 U #s(literal -1/2 binary64)) #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/46080 binary64) (.f64 J #s(literal 1/384 binary64)))) (.f64 J #s(literal -1/8 binary64))) J)))))
	54.0%	(.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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
	59.5%	(.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 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
	52.6%	(.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 #s(literal 1/4 binary64) (/.f64 U (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)))))
	47.0%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
	22.6%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
	24.0%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	22.5%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
▶	72.8%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
▶	52.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	59.0%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 (.f64 J J) #s(literal 4 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	52.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	53.1%	(.f64 (.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
▶	28.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	31.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	48.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	13.4%	#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 (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
▶	19.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	13.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
	13.4%	#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 (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
	14.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
	49.7%	#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))))
✓	37.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	52.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))

Compiler

Compiled 1 482 to 960 computations (35.2% saved)

simplify257.0ms (1.8%)

Memory

0.0MiB live, 393.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓	cost-diff	0	(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓	cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
✓	cost-diff	320	(.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 K (.f64 J #s(literal 1/4 binary64)))
✓	cost-diff	0	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64))))
✓	cost-diff	0	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
✓	cost-diff	320	(fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64)))
✓	cost-diff	0	(neg.f64 (*.f64 U U))
✓	cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) U)
✓	cost-diff	1024	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
✓	cost-diff	320	(*.f64 J #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 K #s(literal 1 binary64))
✓	cost-diff	384	(fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))

Rules

6 020×	`lower-fma.f32`
6 008×	`lower-fma.f64`
5 778×	`lower-*.f32`
5 738×	`lower-*.f64`
1 804×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	692
0	131	635
1	269	585
2	792	574
3	2924	574
4	3934	574
5	4273	574
6	5514	574
7	6315	574
8	7291	574
0	8004	571

Stop Event

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

Calls

Call 1

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

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

localize283.0ms (2%)

Memory

30.9MiB live, 414.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	99.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	99.5%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
✓	accuracy	53.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓	accuracy	87.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
✓	accuracy	85.8%	(/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))
✓	accuracy	85.8%	(sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
✓	accuracy	58.4%	#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))
✓	accuracy	85.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
✓	accuracy	81.9%	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
✓	accuracy	74.2%	(/.f64 (.f64 U U) (.f64 J J))
✓	accuracy	50.1%	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64))))
✓	accuracy	100.0%	(*.f64 U U)
✓	accuracy	100.0%	(neg.f64 (*.f64 U U))
✓	accuracy	54.5%	(/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
✓	accuracy	37.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
✓	accuracy	99.8%	(/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))))
✓	accuracy	99.5%	(fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64)))
✓	accuracy	87.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
✓	accuracy	85.8%	(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))

Samples

157.0ms

256×

valid

Compiler

Compiled 630 to 80 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 59.0ms (46% of total)

ival-cos: 30.0ms (23.4% of total)

ival-div: 13.0ms (10.1% of total)

ival-add: 11.0ms (8.6% of total)

ival-sqrt: 10.0ms (7.8% of total)

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

ival-pow2: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series175.0ms (1.3%)

Memory

-31.9MiB live, 164.4MiB allocated

Counts

31 → 768

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) (taylor inf U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) (taylor inf U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) (taylor inf U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) (taylor inf U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))) (taylor -inf U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) (taylor -inf U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) (taylor -inf U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2)))) (taylor -inf U) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor 0 K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))) (taylor 0 K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))) (taylor 0 K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))))) (taylor 0 K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) (taylor inf K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) (taylor inf K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) (taylor inf K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) (taylor inf K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))) (taylor -inf K) (#s(alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* U (cos (* 1/2 K))) (taylor 0 U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor inf U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor inf U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor inf U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor inf U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor -inf U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor -inf U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor -inf U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor -inf U) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (+ U (* -1/8 (* (pow K 2) U))) (taylor 0 K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U))))) (taylor 0 K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U)))))) (taylor 0 K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor inf K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor inf K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor inf K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor inf K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor -inf K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor -inf K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor -inf K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())
#s(alt (* U (cos (* 1/2 K))) (taylor -inf K) (#s(alt (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (patch (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #<representation binary64>) () ())) ())

Calls

192 calls:

Time	Variable		Point	Expression
32.0ms	U	@	inf	(* (* (sqrt (+ (* (/ U (+ (* (cos (* K 1)) (* J 1)) (* J 1))) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J)
25.0ms	K	@	inf	(neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))))
14.0ms	K	@	0	(neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))))
2.0ms	K	@	0	(* (* (sqrt (+ (* (/ U (+ (* (cos (* K 1)) (* J 1)) (* J 1))) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J)
2.0ms	K	@	0	(* (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2))))

simplify512.0ms (3.7%)

Memory

19.4MiB live, 804.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 266×	`lower-fma.f64`
8 266×	`lower-fma.f32`
7 776×	`lower-*.f64`
7 776×	`lower-*.f32`
6 412×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1203	19407
1	4020	18931
0	8579	17664

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 728

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
1
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
K
K
K
K
K
K
K
K
K
K
K
K
J
J
J
J
J
J
J
J
J
J
J
J
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))
(* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
(* 2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))))
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))))
(* -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))))))))))))
(+ (* -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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
U
U
U
U
U
U
U
U
U
U
U
U
(* -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))))
(* 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))))
(* -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 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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U
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1
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1
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(/ (+ (* 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)
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1
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1
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(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
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1
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1
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(+ (* 1/4 (/ U (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ U (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ U (pow J 2))) (+ (* 1/192 (/ U (pow J 2))) (* 1/4 (+ (* -1/16 (/ U (pow J 2))) (* 1/48 (/ U (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ U (pow J 2))) (* 1/48 (/ U (pow J 2))))))))))
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(* U (cos (* 1/2 K)))
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U
(+ U (* -1/8 (* (pow K 2) U)))
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(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
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(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
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(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/2 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 U U)) (*.f64 J (fma.f64 J (cos.f64 K) J)))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
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(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 K K) (/.f64 (.f64 U U) (*.f64 J J)))))
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(* -2 (* J (cos (* 1/2 K))))
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))))
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(neg.f64 U)
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(neg.f64 U)
U
U
U
U
U
U
U
U
U
U
U
U
(* -1 U)
(neg.f64 U)
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
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(* -2 (* J (cos (* 1/2 K))))
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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))))))))
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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 (cos (* 1/2 K))))
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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))))))
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(* -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)))))))
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(* -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))))))))
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(* -2 (cos (* 1/2 K)))
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(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
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(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
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(* -1 (* (/ (* U (cos (* 1/2 K))) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* U (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
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(* U (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
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(* U (+ (* -4 (* (/ (* (pow J 5) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
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(* (/ (* U (cos (* 1/2 K))) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) J)
(* -1 (* U (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))))
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(* -1 (* U (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
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(* -1 (* U (+ (* -4 (* (/ (* (pow J 5) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* J (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (/ (cos (* 1/2 K)) J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
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(* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(* 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)))))))))
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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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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
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(* -1 (* 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))))))))))
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(* -1 (* 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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(* -1 (* 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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(* -1 U)
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(- (* -1 (* (pow K 2) (+ (* -1/8 U) (* 1/8 U)))) U)
(-.f64 (.f64 (.f64 K K) #s(literal 0 binary64)) U)
(- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (* 5/384 U))))) (+ (* -1/8 U) (* 1/8 U)))) U)
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U
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (sqrt 1/2)))
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(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
U
(+ U (* -1/8 (* (pow K 2) U)))
(fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))
(fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)
(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

rewrite307.0ms (2.2%)

Memory

-18.6MiB live, 414.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 240×	`lower-*.f32`
4 200×	`lower-*.f64`
3 404×	`lower-fma.f32`
3 392×	`lower-fma.f64`
2 884×	`lower-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	514
0	131	469
1	475	406
2	3860	402
0	8144	402

Stop Event

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

Counts

31 → 718

Calls

Call 1

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

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

eval238.0ms (1.7%)

Memory: 55.2MiB live, 499.6MiB allocated
Compiler: Compiled 45 685 to 4 574 computations (90% saved)

prune386.0ms (2.8%)

Memory

5.8MiB live, 685.2MiB allocated

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	1 495	26	1 521
Fresh	8	17	25
Picked	4	1	5
Done	0	1	1
Total	1 507	45	1 552

Accuracy

100.0%

Counts

1 552 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #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)))))
	48.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	48.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	16.2%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	69.2%	(.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 (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
▶	54.0%	(.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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
	59.5%	(.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 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
	52.6%	(.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 #s(literal 1/4 binary64) (/.f64 U (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)))))
	47.0%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
	22.6%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
	24.0%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	22.5%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
▶	72.8%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	61.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U #s(approx (+ (* (cos (* K 1)) (* J 1)) (* J 1)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	42.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 (.f64 U (neg.f64 U)) (.f64 (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)))) (neg.f64 U))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	52.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	52.2%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))))) U) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	53.1%	(.f64 (.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* (cos (* K 1)) (* J 1)) (* J 1))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	34.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
	30.2%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
	24.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
▶	19.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	17.9%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
	2.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
	26.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
	31.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	49.7%	(.f64 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
	48.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	10.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	13.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
▶	19.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
	17.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
	37.2%	#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) (neg.f64 U))))
	13.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
	13.4%	#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 (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
	14.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
	37.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
✓	37.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	52.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
	52.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓	52.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
▶	32.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))

Compiler

Compiled 1 958 to 1 246 computations (36.4% saved)

simplify234.0ms (1.7%)

Memory

-47.9MiB live, 339.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
✓	cost-diff	384	(/.f64 (/.f64 (*.f64 U U) J) J)
✓	cost-diff	384	(/.f64 K #s(literal 2 binary64))
✓	cost-diff	0	#s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	cost-diff	0	(neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
✓	cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
✓	cost-diff	0	(.f64 K (.f64 J #s(literal 1/4 binary64)))
✓	cost-diff	0	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64))))
✓	cost-diff	0	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
✓	cost-diff	320	(fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64)))
✓	cost-diff	0	(neg.f64 U)
✓	cost-diff	0	(*.f64 U (neg.f64 U))
✓	cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
✓	cost-diff	1024	(/.f64 (*.f64 U (neg.f64 U)) U)
✓	cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
✓	cost-diff	384	(fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))

Rules

5 626×	`lower-fma.f32`
5 618×	`lower-fma.f64`
4 650×	`lower-*.f32`
4 614×	`lower-*.f64`
2 150×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	564
0	129	565
1	241	563
2	540	540
3	1291	532
4	4070	532
5	4506	532
6	5743	532
7	7569	532
0	8144	529

Stop Event

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

Calls

Call 1

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

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

localize273.0ms (2%)

Memory

27.3MiB live, 427.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.1%	(/.f64 (*.f64 U U) J)
✓	accuracy	87.5%	(.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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
✓	accuracy	85.8%	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))
✓	accuracy	81.9%	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64))))
✓	accuracy	99.8%	(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
✓	accuracy	99.8%	(.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
✓	accuracy	59.6%	#s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64))
✓	accuracy	53.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
✓	accuracy	87.5%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
✓	accuracy	81.9%	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J)))
✓	accuracy	53.1%	#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))
✓	accuracy	50.1%	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64))))
✓	accuracy	100.0%	(*.f64 U (neg.f64 U))
✓	accuracy	100.0%	(neg.f64 U)
✓	accuracy	54.5%	(/.f64 (*.f64 U (neg.f64 U)) U)
✓	accuracy	37.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
✓	accuracy	99.8%	(/.f64 U (fma.f64 (cos.f64 K) J J))
✓	accuracy	99.5%	(fma.f64 (cos.f64 K) J J)
✓	accuracy	87.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
✓	accuracy	85.8%	(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))

Samples

169.0ms

256×

valid

Compiler

Compiled 456 to 75 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 70.0ms (50.5% of total)

ival-cos: 26.0ms (18.7% of total)

ival-div: 17.0ms (12.3% of total)

ival-sqrt: 12.0ms (8.7% of total)

ival-add: 10.0ms (7.2% of total)

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

ival-pow2: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series197.0ms (1.4%)

Memory

8.1MiB live, 83.9MiB allocated

Counts

28 → 744

Calls

Call 1

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

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

Calls

186 calls:

Time	Variable		Point	Expression
7.0ms	K	@	inf	(* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2))))
1.0ms	K	@	0	(* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2))))
1.0ms	U	@	inf	(* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2))))
1.0ms	U	@	0	(* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2))))
1.0ms	K	@	-inf	(* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2))))

simplify655.0ms (4.7%)

Memory

-2.8MiB live, 661.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 760×	`lower-fma.f64`
9 760×	`lower-fma.f32`
7 138×	`lower-+.f64`
7 138×	`lower-+.f32`
7 068×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1099	18706
1	3664	18264
0	8479	17157

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 739

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))))))) (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K)))))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
1
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))
(* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
(* 2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))))
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
(* -1 (* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))))
(* -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))))))))))))
(+ (* -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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/2880 (/ (pow U 2) (pow J 2))) (+ (* 1/384 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (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 (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))))))
(* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* -1 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* 1/4 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))
(+ (* -2 (* (* U (* (cos (* 1/2 K)) (sqrt 1/2))) (sqrt (/ 1 (+ 1 (cos K)))))) (* (pow J 2) (+ (* -1 (* (/ (cos (* 1/2 K)) (* U (sqrt 1/2))) (sqrt (+ 1 (cos K))))) (* (pow J 2) (+ (* -1/8 (* (/ (* (pow J 2) (cos (* 1/2 K))) (* (pow U 5) (pow (sqrt 1/2) 5))) (sqrt (pow (+ 1 (cos K)) 5)))) (* 1/4 (* (/ (cos (* 1/2 K)) (* (pow U 3) (pow (sqrt 1/2) 3))) (sqrt (pow (+ 1 (cos K)) 3)))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ J (* J (cos K)))))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ J (* J (cos K)))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ J (* J (cos K)))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))))))
(* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
(* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))
(* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))
(* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
(* 2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
(* -1 (* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))))
(* -1 (* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
(* -1 (* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))))
(* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/2 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/96 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))) (* -2 (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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(* U (cos (* 1/2 K)))
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(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
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(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
U
(+ U (* -1/8 (* (pow K 2) U)))
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))
(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (cos (* 1/2 K)))
(* U (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)))))))
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(* 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))))))
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(* 1/2 (/ U (* J (cos (* 1/2 K)))))
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(/ (+ (* 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
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1
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(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)))))))))))
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1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
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(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
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(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
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1
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(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)

Outputs
1
#s(literal 1 binary64)
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
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(/ (+ (* 1/2 (/ (pow U 2) (+ 1 (cos K)))) (pow J 2)) (pow J 2))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow U 2) (* (pow J 2) (+ 1 (cos K))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
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(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2)))))))
(.f64 J (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J J) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64)))) (.f64 (.f64 (.f64 J (.f64 J J)) J) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) #s(literal 2 binary64)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1 (cos K))))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1 (cos K)) 3)))) (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1 (cos K)) 2))))))))
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(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))
(.f64 (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64))))) (neg.f64 J))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))
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(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))
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(* -2 (cos (* 1/2 K)))
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(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ J (* J (cos K)))))))
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(* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
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(* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))
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(* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))
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(* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
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(* 2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
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(* -1 (* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))))))
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(* -1 (* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
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(* -1 (* U (+ (* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* J (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 3) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))))
(neg.f64 (.f64 U (fma.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 J (fma.f64 J (cos.f64 K) J))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 3 binary64)) (.f64 J (.f64 J J)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 5 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (neg.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 U U) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 J (fma.f64 J (cos.f64 K) J))))))))))
(* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(+ (* -2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* -2 (* (pow K 2) (+ (* -1/8 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 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))))))))
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(.f64 U (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(* -1 (* 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))))))))))
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(* -1 (* 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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(* -1 (* 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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(neg.f64 U)
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(-.f64 (.f64 (.f64 K K) #s(literal 0 binary64)) U)
(- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (* 5/384 U))))) (+ (* -1/8 U) (* 1/8 U)))) U)
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 U))
(- (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -5/3072 U) (+ (* -1/46080 U) (+ (* 1/3072 U) (* 61/46080 U)))))) (+ (* -1/64 U) (+ (* 1/384 U) (* 5/384 U))))) (+ (* -1/8 U) (* 1/8 U)))) U)
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(.f64 (neg.f64 U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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U
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/8 U))))
(fma.f64 (*.f64 K K) #s(literal 0 binary64) U)
(+ U (* (pow K 2) (+ (* -1/8 U) (+ (* 1/8 U) (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (* 5/384 U))))))))
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(+ U (* (pow K 2) (+ (* -1/8 U) (+ (* 1/8 U) (* (pow K 2) (+ (* -1/64 U) (+ (* 1/384 U) (+ (* 5/384 U) (* (pow K 2) (+ (* -5/3072 U) (+ (* -1/46080 U) (+ (* 1/3072 U) (* 61/46080 U)))))))))))))
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
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(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
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U
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#s(literal 1 binary64)
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(fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #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 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (.f64 (.f64 J (.f64 J J)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 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)))))))
(+.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (.f64 (.f64 J (.f64 J J)) J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) #s(literal 1 binary64))) (/.f64 (.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(fma.f64 (.f64 #s(literal 1/32 binary64) (.f64 (.f64 K K) (/.f64 (.f64 U U) (.f64 J J)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(+ (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)))))))))))
(fma.f64 (.f64 K K) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K K) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) (.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)) (.f64 (.f64 J (.f64 J J)) J))) #s(literal -1/1024 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) (.f64 J J))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(+ (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)))))))))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) (.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)) (.f64 (.f64 J (.f64 J J)) J))) #s(literal -1/1024 binary64))) (.f64 (.f64 K K) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 13/2880 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)))) (.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (.f64 U U) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/24 binary64)) (.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)) (.f64 (.f64 J (.f64 J J)) J))) #s(literal -1/1024 binary64)))) (.f64 (.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))))))) (.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (.f64 U U) (.f64 J J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
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 (.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J (.f64 J J)) J)) (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #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 (.f64 U U) (fma.f64 (.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (.f64 U U) (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (.f64 J (.f64 J J)) J))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 U (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(.f64 U (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 J (.f64 U U))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* -1/2 (/ U J))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J)
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(neg.f64 (.f64 U (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 J (.f64 U U))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (.f64 J (.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))
(* 1/2 (/ U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (fma.f64 (.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (.f64 J J) (.f64 U (.f64 U U)))) (*.f64 #s(literal 1/2 binary64) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(/.f64 (fma.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (.f64 U (.f64 U U)))) (/.f64 #s(literal 1 binary64) U)) (.f64 #s(literal 1/2 binary64) U)) 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 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (.f64 J (*.f64 J J)) J)) #s(literal 1 binary64)))
(+ 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))))))
(+.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (.f64 J (.f64 J J)) J)) #s(literal 1 binary64)))
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 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (.f64 J (*.f64 J J)) J)) #s(literal 1 binary64)))
(+ 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))))))
(+.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (.f64 J (.f64 J J)) J)) #s(literal 1 binary64)))
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)

rewrite380.0ms (2.7%)

Memory

20.6MiB live, 413.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 016×	`lower-/.f32`
4 002×	`lower-/.f64`
3 552×	`lower-*.f32`
3 516×	`lower-*.f64`
2 366×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	475
0	129	476
1	445	448
2	2854	436
0	8123	432

Stop Event

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

Counts

28 → 426

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
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(/.f64 (fma.f64 J (.f64 J J) (pow.f64 (.f64 (cos.f64 K) J) #s(literal 3 binary64))) (fma.f64 J J (-.f64 (.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64)))))) (.f64 (cos.f64 K) (.f64 J J)))))
(/.f64 (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (neg.f64 (.f64 J J))) (fma.f64 (cos.f64 K) J (neg.f64 J)))
(/.f64 (neg.f64 (fma.f64 J (.f64 J J) (pow.f64 (.f64 (cos.f64 K) J) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (.f64 J (-.f64 J (*.f64 (cos.f64 K) J))))))
(/.f64 (neg.f64 (fma.f64 J (.f64 J J) (pow.f64 (.f64 (cos.f64 K) J) #s(literal 3 binary64)))) (neg.f64 (fma.f64 J J (-.f64 (.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64)))))) (.f64 (cos.f64 K) (.f64 J J))))))
(/.f64 (neg.f64 (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (neg.f64 (.f64 J J)))) (neg.f64 (fma.f64 (cos.f64 K) J (neg.f64 J))))
(/.f64 (-.f64 (.f64 J J) (.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))))) (-.f64 J (.f64 (cos.f64 K) J)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 J (.f64 J J) (pow.f64 (.f64 (cos.f64 K) J) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (.f64 J (-.f64 J (*.f64 (cos.f64 K) J)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (neg.f64 (.f64 J J))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 K) J (neg.f64 J)))))
(/.f64 (neg.f64 (-.f64 (.f64 J J) (.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64)))))))) (neg.f64 (-.f64 J (.f64 (cos.f64 K) J))))
(pow.f64 (/.f64 (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (.f64 J (-.f64 J (.f64 (cos.f64 K) J)))) (fma.f64 J (.f64 J J) (pow.f64 (*.f64 (cos.f64 K) J) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 K) J (neg.f64 J)) (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (neg.f64 (.f64 J J)))) #s(literal -1 binary64))
(*.f64 J (+.f64 (cos.f64 K) #s(literal 1 binary64)))
(.f64 (fma.f64 J (.f64 J J) (pow.f64 (.f64 (cos.f64 K) J) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (.f64 J (-.f64 J (.f64 (cos.f64 K) J))))))
(.f64 (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (neg.f64 (*.f64 J J))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) J (neg.f64 J))))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) J)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 K) J J) U)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (cos.f64 K) J J))) (/.f64 U (neg.f64 (fma.f64 (cos.f64 K) J J))))
(neg.f64 (/.f64 U (neg.f64 (fma.f64 (cos.f64 K) J J))))
(neg.f64 (/.f64 (neg.f64 U) (fma.f64 (cos.f64 K) J J)))
(/.f64 U (fma.f64 (cos.f64 K) J J))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 K) J J) U))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 K) J J) U) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 K) J J) U))))
(/.f64 (neg.f64 U) (neg.f64 (fma.f64 (cos.f64 K) J J)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 K) J J) U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 K) J J) U) #s(literal 1 binary64))))
(/.f64 (*.f64 U #s(literal 1 binary64)) (fma.f64 (cos.f64 K) J J))
(/.f64 (neg.f64 (neg.f64 U)) (neg.f64 (neg.f64 (fma.f64 (cos.f64 K) J J))))
(/.f64 (/.f64 U (+.f64 (cos.f64 K) #s(literal 1 binary64))) J)
(/.f64 (neg.f64 (neg.f64 (neg.f64 U))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 K) J J)))))
(/.f64 (neg.f64 (*.f64 U #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 K) J J)))
(/.f64 (neg.f64 (/.f64 U (+.f64 (cos.f64 K) #s(literal 1 binary64)))) (neg.f64 J))
(pow.f64 (/.f64 (fma.f64 (cos.f64 K) J J) U) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 K) J J) U) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 U (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) J J)))
(*.f64 #s(literal 1 binary64) (/.f64 U (fma.f64 (cos.f64 K) J J)))
(*.f64 (neg.f64 U) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 K) J J))))
(*.f64 #s(literal -1 binary64) (/.f64 U (neg.f64 (fma.f64 (cos.f64 K) J J))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) J J)) U)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) J J)) (pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 K) #s(literal 1 binary64))) (/.f64 U J))
(.f64 (/.f64 U (fma.f64 J (.f64 J J) (pow.f64 (.f64 (cos.f64 K) J) #s(literal 3 binary64)))) (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (.f64 J (-.f64 J (.f64 (cos.f64 K) J)))))
(.f64 (/.f64 U (fma.f64 (.f64 J J) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 2 binary64))))) (neg.f64 (*.f64 J J)))) (fma.f64 (cos.f64 K) J (neg.f64 J)))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 U (*.f64 J #s(literal 2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 U (*.f64 J #s(literal 2 binary64)))))
(.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64))))
(exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (*.f64 J J)))) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J)) (.f64 #s(literal 1/4 binary64) (.f64 U U))) (.f64 #s(literal 1/4 binary64) (.f64 U U))) (*.f64 J J)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 #s(literal 1/4 binary64) (.f64 U U))) (.f64 (.f64 J J) (.f64 J J))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 J J))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal -1 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))) (.f64 (.f64 J J) (.f64 (.f64 J J) (.f64 J J)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (*.f64 J J))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 U (/.f64 U (.f64 J J))) (.f64 U (/.f64 U (.f64 J J)))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal -1 binary64)))))
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (.f64 J J))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 J (.f64 U U))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) J) (neg.f64 (/.f64 (*.f64 U U) J)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 J)) (neg.f64 (/.f64 (*.f64 U U) J)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 J))) (neg.f64 (/.f64 (*.f64 U U) J)))
(neg.f64 (neg.f64 (/.f64 (*.f64 U U) J)))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J (*.f64 U U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 J (*.f64 U U)))))
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 J))
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 (neg.f64 (neg.f64 J))))
(/.f64 (*.f64 U U) J)
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 J)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (*.f64 U U))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 J (*.f64 U U)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 U U) #s(literal 1 binary64)) J)
(/.f64 (neg.f64 (.f64 (.f64 U U) #s(literal 1 binary64))) (neg.f64 J))
(pow.f64 (/.f64 J (*.f64 U U)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 J (*.f64 U U)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 U (/.f64 U J))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) J))
(*.f64 (neg.f64 U) (/.f64 U (neg.f64 J)))
(.f64 (.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(.f64 (.f64 U U) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 U J) U)
(.f64 (/.f64 #s(literal 1 binary64) J) (.f64 U U))
(.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 U U)) #s(literal -1 binary64)))

eval271.0ms (1.9%)

Memory: 2.1MiB live, 237.5MiB allocated
Compiler: Compiled 35 464 to 2 723 computations (92.3% saved)

prune672.0ms (4.8%)

Memory

-46.8MiB live, 889.6MiB allocated

Pruning

52 alts after pruning (47 fresh and 5 done)

	Pruned	Kept	Total
New	1 149	16	1 165
Fresh	7	31	38
Picked	1	4	5
Done	1	1	2
Total	1 158	52	1 210

Accuracy

100.0%

Counts

1 210 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #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)))))
	48.8%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	48.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	54.0%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
	16.2%	(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	69.2%	(.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 (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
	54.1%	(.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 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)))))
	59.5%	(.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 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
	52.6%	(.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 #s(literal 1/4 binary64) (/.f64 U (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)))))
	22.6%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
	22.5%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))))
	47.0%	(.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
✓	72.8%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	61.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U #s(approx (+ (* (cos (* K 1)) (* J 1)) (* J 1)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	42.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 (.f64 U (neg.f64 U)) (.f64 (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)))) (neg.f64 U))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	52.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	52.2%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))))) U) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	53.1%	(.f64 (.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* (cos (* K 1)) (* J 1)) (* J 1))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
	19.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	34.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
	30.2%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
	24.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
✓	19.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	17.9%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
	2.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
	26.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
	12.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	24.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	33.9%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
	31.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	25.9%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	2.7%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	49.7%	(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
	48.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	10.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	13.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
✓	19.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
	37.2%	#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) (neg.f64 U))))
	13.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
	13.4%	#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 (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
	14.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
✓	37.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	52.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (neg.f64 U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
	52.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
	52.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓	32.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	26.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
	26.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))

Compiler

Compiled 2 913 to 1 089 computations (62.6% saved)

regimes175.0ms (1.3%)

Memory

-46.2MiB live, 295.7MiB allocated

Counts

85 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))))))
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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) (/.f64 (.f64 U 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 (.f64 J #s(literal 2 binary64)) (*.f64 J #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 (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.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 (.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 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #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

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

Calls

6 calls:

31.0ms	J
29.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
25.0ms	(/.f64 K #s(literal 2 binary64))
25.0ms	K
24.0ms	U

Results

Accuracy	Segments	Branch
89.2%	2	`J`
72.9%	1	`K`
87.5%	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)))))`
72.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
72.9%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes61.0ms (0.4%)

Memory

8.8MiB live, 47.6MiB allocated

Counts

83 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))))) U) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U #s(approx (+ (* (cos (* K 1)) (* J 1)) (* J 1)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 (*.f64 J J) U)) #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 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 (.f64 U (neg.f64 U)) (.f64 (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)))) (neg.f64 U))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #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))) (/.f64 (.f64 U #s(literal -1/2 binary64)) #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/46080 binary64) (.f64 J #s(literal 1/384 binary64)))) (.f64 J #s(literal -1/8 binary64))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (neg.f64 U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.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 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.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 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (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) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* (cos (* K 1)) (* J 1)) (* J 1))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 (.f64 J J) #s(literal 4 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.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)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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 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 (.f64 J #s(literal 2 binary64)) (*.f64 J #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 (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.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)))))))))))

Outputs

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

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

Calls

1 calls:

56.0ms

(*.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
99.7%	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)

regimes26.0ms (0.2%)

Memory

18.9MiB live, 57.5MiB allocated

Counts

77 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))))) U) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U #s(approx (+ (* (cos (* K 1)) (* J 1)) (* J 1)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 (*.f64 J J) U)) #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 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 (.f64 U (neg.f64 U)) (.f64 (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)))) (neg.f64 U))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #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))) (/.f64 (.f64 U #s(literal -1/2 binary64)) #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/46080 binary64) (.f64 J #s(literal 1/384 binary64)))) (.f64 J #s(literal -1/8 binary64))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (neg.f64 U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.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 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.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 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (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) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* (cos (* K 1)) (* J 1)) (* J 1))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 (.f64 J J) #s(literal 4 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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)))) (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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 (.f64 J J) #s(literal 4 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))

Calls

1 calls:

21.0ms

(*.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
94.3%	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)

regimes75.0ms (0.5%)

Memory

-0.1MiB live, 81.7MiB allocated

Counts

76 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))))) U) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U #s(approx (+ (* (cos (* K 1)) (* J 1)) (* J 1)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 (*.f64 J J) U)) #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 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 (.f64 U (neg.f64 U)) (.f64 (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)))) (neg.f64 U))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #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))) (/.f64 (.f64 U #s(literal -1/2 binary64)) #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/46080 binary64) (.f64 J #s(literal 1/384 binary64)))) (.f64 J #s(literal -1/8 binary64))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (neg.f64 U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.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 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.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 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (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) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* (cos (* K 1)) (* J 1)) (* J 1))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (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)))) (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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* (cos (* K 1)) (* J 1)) (* J 1))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 U U) (.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))

Calls

2 calls:

48.0ms

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
84.1%	3	`J`
91.4%	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)

regimes27.0ms (0.2%)

Memory

-32.9MiB live, 45.4MiB allocated

Counts

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

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

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
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)

regimes25.0ms (0.2%)

Memory

3.6MiB live, 44.0MiB allocated

Counts

73 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))))) U) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U #s(approx (+ (* (cos (* K 1)) (* J 1)) (* J 1)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 (*.f64 J J) U)) #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 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 (.f64 U (neg.f64 U)) (.f64 (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)))) (neg.f64 U))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #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))) (/.f64 (.f64 U #s(literal -1/2 binary64)) #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/46080 binary64) (.f64 J #s(literal 1/384 binary64)))) (.f64 J #s(literal -1/8 binary64))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (neg.f64 U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.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 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.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 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (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 (sqrt.f64 (fma.f64 (/.f64 U #s(approx (+ (* (cos (* K 1)) (* J 1)) (* J 1)) (*.f64 #s(literal 2 binary64) J))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)

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

Calls

1 calls:

21.0ms

(*.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)

regimes38.0ms (0.3%)

Memory

29.3MiB live, 68.3MiB allocated

Counts

62 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))))) U) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U #s(approx (+ (* (cos (* K 1)) (* J 1)) (* J 1)) (.f64 #s(literal 2 binary64) J))) (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 U (/.f64 (*.f64 J J) U)) #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 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #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 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 (.f64 U (neg.f64 U)) (.f64 (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)))) (neg.f64 U))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J (*.f64 U U))) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #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))) (/.f64 (.f64 U #s(literal -1/2 binary64)) #s(approx ( J (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/46080 binary64) (.f64 J #s(literal 1/384 binary64)))) (.f64 J #s(literal -1/8 binary64))) J)))))

Outputs

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

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

Calls

2 calls:

18.0ms

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
72.5%	2	`U`
82.8%	2	`(.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)

regimes35.0ms (0.3%)

Memory

-7.3MiB live, 69.8MiB allocated

Counts

53 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 J J) (.f64 #s(literal 4 binary64) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64))))) U) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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)))) (neg.f64 U))

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

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
71.5%	2	`J`
75.8%	2	`(.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)

regimes19.0ms (0.1%)

Memory

-9.2MiB live, 32.8MiB allocated

Counts

50 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #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))) #s(approx (sqrt (+ (* 1/4 (/ (/ (* U U) J) J)) 1)) (.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U 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 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))

Outputs

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

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

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
76.5%	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)

regimes60.0ms (0.4%)

Memory

-7.3MiB live, 105.0MiB allocated

Counts

44 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (.f64 U (/.f64 #s(literal 1/8 binary64) (.f64 J J))) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 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 #s(literal -2 binary64) J)))

Calls

4 calls:

15.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	(.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)))))
13.0ms	K
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
61.2%	4	`K`
61.2%	4	`(/.f64 K #s(literal 2 binary64))`
59.7%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
75.9%	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 44 to 31 computations (29.5% saved)

regimes15.0ms (0.1%)

Memory

30.1MiB live, 30.1MiB allocated

Counts

43 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#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 #s(literal -2 binary64) J)))
#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 #s(approx ( (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(.f64 #s(approx ( (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 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 #s(literal -2 binary64) J)))

Calls

1 calls:

12.0ms

(*.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
75.9%	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)

regimes82.0ms (0.6%)

Memory

-16.7MiB live, 135.2MiB allocated

Counts

36 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64) (.f64 J #s(literal -1/192 binary64))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 (.f64 (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))

Outputs

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

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

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

Calls

6 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)))))
13.0ms	J
12.0ms	K
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms	U

Results

Accuracy	Segments	Branch
48.8%	4	`K`
48.8%	4	`(/.f64 K #s(literal 2 binary64))`
44.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
51.1%	2	`J`
52.0%	2	`U`
58.9%	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)))))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes12.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

33 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 U (.f64 J J)) U) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))

Outputs

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

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

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

Calls

1 calls:

9.0ms

(*.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
58.2%	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)

regimes18.0ms (0.1%)

Memory

-18.5MiB live, 21.0MiB allocated

Counts

28 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.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)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 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 (.f64 (.f64 U (.f64 U U)) (neg.f64 U)) (.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (fma.f64 U #s(literal -5/3072 binary64) (.f64 U #s(literal 5/3072 binary64))) (neg.f64 (.f64 K K)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (+.f64 #s(literal 0 binary64) (.f64 (.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (*.f64 U #s(literal 5/3072 binary64))))) #s(literal 0 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (.f64 U (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 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)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (*.f64 U (*.f64 K K)) 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
56.9%	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)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes24.0ms (0.2%)

Memory

26.9MiB live, 62.0MiB allocated

Counts

21 → 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)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U (.f64 U U)) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (neg.f64 (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 (.f64 K K) (.f64 U (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) U)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) #s(approx (+ (* K (* K (* J 1/4))) (* J -2)) (.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (.f64 U (neg.f64 U)) (.f64 U (.f64 U U))) (*.f64 U U)))
#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 (.f64 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)))) (/.f64 (neg.f64 (.f64 U U)) (.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) 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 U (.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.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))

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

Calls

3 calls:

10.0ms

7.0ms

6.0ms

(*.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
47.8%	2	`J`
46.6%	2	`U`
49.5%	2	`(.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 35 to 23 computations (34.3% saved)

regimes27.0ms (0.2%)

Memory

-14.1MiB live, 58.4MiB allocated

Accuracy

Total -16.0b remaining (-39.9%)

Threshold costs -16b (-39.9%)

Counts

9 → 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))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 #s(approx (sqrt (/ 1 (+ ( 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) #s(approx (* U (cos (* 1/2 K))) (fma.f64 #s(literal -1/8 binary64) (.f64 U (.f64 K K)) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (.f64 U (/.f64 #s(literal 1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) U) (.f64 U (neg.f64 U))))
#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) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 (.f64 U U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))

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

Calls

6 calls:

9.0ms	(.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)))))
4.0ms	K
3.0ms	U
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	J

Results

Accuracy	Segments	Branch
37.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
37.3%	1	`K`
37.3%	1	`(/.f64 K #s(literal 2 binary64))`
37.3%	1	`U`
37.3%	1	`J`
37.3%	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)))))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3619168612910274e+286	+inf
0.0ms	-inf	-3.237888289369532e+295

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3619168612910274e+286	+inf
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.417600709204973e+265	5.0762868536327214e+269
0.0ms	1.3138593973922355e-63	8.139423929173837e-63
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 2.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.0304233738599154e+231	3.345688972221185e+234
0.0ms	1.3138593973922355e-63	8.139423929173837e-63
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.417600709204973e+265	5.0762868536327214e+269
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.417600709204973e+265	5.0762868536327214e+269
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.5202278261916875e-157	-2.6533831180840336e-168
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-2.6533831180840336e-168	-3.0564155605886414e-181
0.0ms	-5.695935236373936e+59	-4.4492894588960895e+57
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-2.6533831180840336e-168	-3.0564155605886414e-181
0.0ms	-5.695935236373936e+59	-4.4492894588960895e+57
0.0ms	-3.237888289369532e+295	-1.97640408774275e+293

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch8.0ms (0.1%)

Memory

-43.6MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-5.677799838469823e-102	-2.2997784592083693e-107
0.0ms	-3.4482924930900485e+270	-4.067417895161353e+265

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-3.2261166355487526e-240	-5.539069608853634e-254
0.0ms	-3.4482924930900485e+270	-4.067417895161353e+265

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.601328163944576e-128	-4.310100792845574e-132
0.0ms	-8.887335281212732e+259	-7.742265721493601e+257

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.4482924930900485e+270	-4.067417895161353e+265

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify50.0ms (0.4%)

Memory

18.0MiB live, 57.4MiB allocated

Algorithm

1×	egg-herbie

Rules

102×	`*-commutative_binary64`
24×	`+-commutative_binary64`
20×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	2521
1	305	2521
2	333	2521
3	352	2521
4	361	2521
5	363	2521

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.9s (13.3%)

Memory

-11.6MiB live, 1 791.4MiB allocated

Rules

19 354×	`lower-fma.f64`
19 354×	`lower-fma.f32`
12 534×	`lower-fma.f64`
12 534×	`lower-fma.f32`
9 760×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	475
0	129	476
1	445	448
2	2854	436
0	8123	432
0	360	3717
1	1153	3609
2	4514	3477
0	8499	3319
0	81	514
0	131	469
1	475	406
2	3860	402
0	8144	402
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66
0	1099	18706
1	3664	18264
0	8479	17157
0	1203	19407
1	4020	18931
0	8579	17664
0	720	17437
1	2355	16917
0	8459	15788
0	62	426
0	103	380
1	331	337
2	2113	333
0	8208	333

Stop Event

1×	fuel
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×	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

Compiler

Compiled 3 018 to 1 203 computations (60.1% saved)

preprocess192.0ms (1.4%)

Memory: 31.5MiB live, 303.3MiB allocated
Remove: (abs K)
Compiler: Compiled 4 008 to 716 computations (82.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze293.0ms (2.1%)

sample1.6s (11.6%)

preprocess120.0ms (0.9%)

explain265.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.4%)

localize87.0ms (0.6%)

series70.0ms (0.5%)

simplify732.0ms (5.3%)

rewrite281.0ms (2%)

eval66.0ms (0.5%)

prune74.0ms (0.5%)

simplify168.0ms (1.2%)

localize226.0ms (1.6%)

series92.0ms (0.7%)

simplify802.0ms (5.8%)

rewrite530.0ms (3.8%)

eval450.0ms (3.2%)

prune336.0ms (2.4%)

simplify257.0ms (1.8%)

localize283.0ms (2%)

series175.0ms (1.3%)

simplify512.0ms (3.7%)

rewrite307.0ms (2.2%)

eval238.0ms (1.7%)

prune386.0ms (2.8%)

simplify234.0ms (1.7%)

localize273.0ms (2%)

series197.0ms (1.4%)

simplify655.0ms (4.7%)

rewrite380.0ms (2.7%)

eval271.0ms (1.9%)

prune672.0ms (4.8%)

regimes175.0ms (1.3%)

regimes61.0ms (0.4%)

regimes26.0ms (0.2%)

regimes75.0ms (0.5%)

regimes27.0ms (0.2%)

regimes25.0ms (0.2%)

regimes38.0ms (0.3%)

regimes35.0ms (0.3%)

regimes19.0ms (0.1%)

regimes60.0ms (0.4%)

regimes15.0ms (0.1%)

regimes82.0ms (0.6%)

regimes12.0ms (0.1%)

regimes18.0ms (0.1%)

regimes24.0ms (0.2%)

regimes27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (0.4%)

soundness1.9s (13.3%)

preprocess192.0ms (1.4%)

end0.0ms (0%)

Profiling