Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze346.0ms (3.1%)

Memory

21.3MiB live, 523.7MiB 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 (14.7%)

Memory

77.1MiB live, 2 455.3MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 989.0ms

ival-mult: 314.0ms (31.7% of total)

ival-cos: 237.0ms (24% of total)

ival-pow2: 138.0ms (14% of total)

ival-div: 133.0ms (13.4% of total)

ival-sqrt: 76.0ms (7.7% of total)

ival-add: 69.0ms (7% of total)

exact: 12.0ms (1.2% of total)

ival-true: 7.0ms (0.7% of total)

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

Bogosity

explain238.0ms (2.2%)

Memory

-10.4MiB live, 527.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
36	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))))`
23	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	131	(-1.1986258972815214e-275 -3.903748655479851e+144 -1.553946415082677e+225)	-	`(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	131	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	36	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	23
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	23
↳	`(+.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	59
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	59
`*.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**	23	0

Confusion

	Predicted +	Predicted -
+	59	0
-	99	98

Precision

0.37341772151898733

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	59	0	0
-	99	0	98

Precision?

0.37341772151898733

Recall?

1.0

Freqs

test

number	freq
0	98
1	126
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 251 to 55 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-cos: 19.0ms (34.1% of total)

ival-mult: 18.0ms (32.3% of total)

ival-div: 7.0ms (12.6% of total)

ival-pow2: 5.0ms (9% of total)

ival-sqrt: 3.0ms (5.4% of total)

ival-add: 2.0ms (3.6% of total)

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

exact: 1.0ms (1.8% of total)

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

preprocess122.0ms (1.1%)

Memory

2.1MiB live, 119.1MiB 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)

Compiler

Compiled 27 to 17 computations (37% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune8.0ms (0.1%)

Memory

-29.9MiB live, 10.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.2%	(.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)))))

Status

Accuracy

Program

▶

78.2%

(*.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 27 to 17 computations (37% saved)

simplify50.0ms (0.5%)

Memory

-5.5MiB live, 70.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize112.0ms (1%)

Memory

-9.6MiB live, 82.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.24904252930532603	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	5.432268290078095	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	8.412475200186645	(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

33.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 7.0ms (31.9% of total)

ival-cos: 6.0ms (27.4% of total)

ival-div: 3.0ms (13.7% of total)

ival-sqrt: 2.0ms (9.1% of total)

ival-pow2: 2.0ms (9.1% of total)

ival-add: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.6%)

Memory

16.9MiB live, 53.5MiB 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
29.0ms	J	@	0	(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))))
4.0ms	K	@	0	(* (* (* -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))))

simplify329.0ms (3%)

Memory

14.7MiB live, 513.2MiB 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))))

rewrite252.0ms (2.3%)

Memory

-8.2MiB live, 385.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 306

Calls

Call 1

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

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

eval125.0ms (1.1%)

Memory: -0.0MiB live, 83.2MiB allocated
Compiler: Compiled 16 532 to 1 763 computations (89.3% saved)

prune105.0ms (0.9%)

Memory

-21.8MiB live, 133.9MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	468	11	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	11	480

Accuracy

99.9%

Counts

480 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(.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)))))
	57.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.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)))))))))
▶	12.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 U #s(literal -1/2 binary64)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	53.8%	(.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)))))
▶	65.2%	(.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))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
	43.1%	(.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)))))
	51.1%	#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))))))
	34.5%	#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)))
▶	13.3%	#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))))
▶	53.3%	#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 558 to 362 computations (35.1% saved)

simplify236.0ms (2.1%)

Memory

-9.1MiB live, 197.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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	(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))
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)))) (.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))))
cost-diff	768	(.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)))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
cost-diff	192	(.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	320	(.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)))

Rules

5 578×	`lower-*.f32`
5 538×	`lower-*.f64`
2 700×	`lower-/.f32`
2 692×	`lower-/.f64`
2 282×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	531
0	94	533
1	182	505
2	446	465
3	1539	465
4	5103	457
0	9063	454

Stop Event

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

Calls

Call 1

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

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

localize261.0ms (2.4%)

Memory

7.6MiB live, 248.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.1171875	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	5.432268290078095	(.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	54.347474067706784	#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	0.224941259768442	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	3.5676942088693093	(.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)))
accuracy	17.877035952270674	(/.f64 (.f64 J J) (.f64 U U))
accuracy	54.440310636237776	#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))))
accuracy	0	(*.f64 #s(literal -2 binary64) J)
accuracy	0.00390625	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.1171875	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
accuracy	29.82726299393295	#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)))
accuracy	0	(neg.f64 U)
accuracy	40.128799407654576	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	2.1427342156123683	(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	5.423115979326939	(.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))) J)
accuracy	7.889822153156178	(/.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	8.412475200186645	(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)))

Samples

168.0ms

256×

valid

Compiler

Compiled 484 to 53 computations (89% saved)

Precisions

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

ival-mult: 50.0ms (42.5% of total)

ival-cos: 33.0ms (28.1% of total)

ival-add: 17.0ms (14.5% of total)

ival-div: 8.0ms (6.8% of total)

ival-pow2: 4.0ms (3.4% of total)

ival-sqrt: 3.0ms (2.6% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series87.0ms (0.8%)

Memory

3.2MiB live, 194.0MiB allocated

Counts

25 → 624

Calls

Call 1

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

Outputs
#s(alt K (taylor 0 K) (#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 K (taylor 0 K) (#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 K (taylor 0 K) (#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 K (taylor 0 K) (#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 K (taylor inf K) (#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 K (taylor inf K) (#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 K (taylor inf K) (#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 K (taylor inf K) (#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 K (taylor -inf K) (#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 K (taylor -inf K) (#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 K (taylor -inf K) (#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 K (taylor -inf K) (#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 (* 4 (pow J 2)) (taylor 0 J) (#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 (* 4 (pow J 2)) (taylor 0 J) (#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 (* 4 (pow J 2)) (taylor 0 J) (#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 (* 4 (pow J 2)) (taylor 0 J) (#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 (* 4 (pow J 2)) (taylor inf J) (#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 (* 4 (pow J 2)) (taylor inf J) (#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 (* 4 (pow J 2)) (taylor inf J) (#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 (* 4 (pow J 2)) (taylor inf J) (#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 (* 4 (pow J 2)) (taylor -inf J) (#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 (* 4 (pow J 2)) (taylor -inf J) (#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 (* 4 (pow J 2)) (taylor -inf J) (#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 (* 4 (pow J 2)) (taylor -inf J) (#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 (* 4 (pow J 2)) (taylor 0 K) (#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 (+ (* -1 (* (pow J 2) (pow K 2))) (* 4 (pow J 2))) (taylor 0 K) (#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 (+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* 1/12 (* (pow J 2) (pow K 2)))))) (taylor 0 K) (#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 (+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* (pow K 2) (+ (* -1/360 (* (pow J 2) (pow K 2))) (* 1/12 (pow J 2))))))) (taylor 0 K) (#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 (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#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 (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#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 (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#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>) () ())) ())
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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 #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>) () ())) ())
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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 #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>) () ())) ())
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#s(alt (* J (cos (* 1/2 K))) (taylor 0 J) (#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 (* J (cos (* 1/2 K))) (taylor 0 J) (#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 (* J (cos (* 1/2 K))) (taylor 0 J) (#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>) () ())) ())
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#s(alt (* J (cos (* 1/2 K))) (taylor inf J) (#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 (* J (cos (* 1/2 K))) (taylor inf J) (#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 (* J (cos (* 1/2 K))) (taylor inf J) (#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 (* J (cos (* 1/2 K))) (taylor -inf J) (#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 (* J (cos (* 1/2 K))) (taylor -inf J) (#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 (* J (cos (* 1/2 K))) (taylor -inf J) (#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 (* J (cos (* 1/2 K))) (taylor -inf J) (#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 J (taylor 0 K) (#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>) () ())) ())
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#s(alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) (taylor 0 K) (#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 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) (taylor 0 K) (#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 (* J (cos (* 1/2 K))) (taylor inf K) (#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 (* J (cos (* 1/2 K))) (taylor inf K) (#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 (* J (cos (* 1/2 K))) (taylor inf K) (#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 (* J (cos (* 1/2 K))) (taylor inf K) (#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 (* J (cos (* 1/2 K))) (taylor -inf K) (#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 (* J (cos (* 1/2 K))) (taylor -inf K) (#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 (* J (cos (* 1/2 K))) (taylor -inf K) (#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 (* J (cos (* 1/2 K))) (taylor -inf K) (#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>) () ())) ())

Calls

156 calls:

Time	Variable		Point	Expression
7.0ms	J	@	inf	(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
3.0ms	U	@	inf	(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
2.0ms	U	@	0	(sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1))
2.0ms	K	@	inf	(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
2.0ms	U	@	inf	(+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)

simplify328.0ms (3%)

Memory

12.4MiB live, 557.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 866×	`lower-fma.f64`
11 866×	`lower-fma.f32`
8 822×	`lower-*.f64`
8 822×	`lower-*.f32`
3 680×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	14278
1	2218	13887
0	8331	13007

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 601

Calls

Call 1

Inputs
K
K
K
K
K
K
K
K
K
K
K
K
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(+ (* -1 (* (pow J 2) (pow K 2))) (* 4 (pow J 2)))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* 1/12 (* (pow J 2) (pow K 2))))))
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(/ (+ (* 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))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))

Outputs
K
K
K
K
K
K
K
K
K
K
K
K
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(* 4 (pow J 2))
(.f64 #s(literal 4 binary64) (.f64 J J))
(+ (* -1 (* (pow J 2) (pow K 2))) (* 4 (pow J 2)))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 K (.f64 K (*.f64 J J))))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* 1/12 (* (pow J 2) (pow K 2))))))
(fma.f64 (.f64 K K) (-.f64 (.f64 (.f64 J J) (.f64 (.f64 K K) #s(literal 1/12 binary64))) (.f64 J J)) (.f64 #s(literal 4 binary64) (.f64 J J)))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* (pow K 2) (+ (* -1/360 (* (pow J 2) (pow K 2))) (* 1/12 (pow J 2)))))))
(fma.f64 #s(literal 4 binary64) (.f64 J J) (.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 J #s(literal 1/12 binary64)) (.f64 (.f64 J J) (.f64 (.f64 K K) #s(literal -1/360 binary64)))) (neg.f64 (.f64 J J)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) U) (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))))))
(fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (/.f64 (.f64 J J) (.f64 U (.f64 U U)))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U)) (neg.f64 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 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 U (.f64 U U))) (.f64 #s(literal -4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U))) U)
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(* 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 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 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 K #s(literal 1/2 binary64))))) (fma.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (/.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64))))))))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (neg.f64 J))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(.f64 J (neg.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)))) #s(literal 1/512 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
(+ (* -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))))))))))))
(fma.f64 J (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 K K) (fma.f64 #s(literal 1/4 binary64) (.f64 J (sqrt.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 (.f64 U U) 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)))))))))
(+ (* -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)))))))))))))
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(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(* -1 U)
(neg.f64 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
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(* 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))
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
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(* -1 (* 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)))
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(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
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(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
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(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) U) (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))))))
(fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (/.f64 (.f64 J J) (.f64 U (.f64 U U)))) (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U)) (neg.f64 U))
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(-.f64 (.f64 (.f64 J J) (fma.f64 (.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (.f64 U (.f64 U U))) (.f64 #s(literal -4 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) U))) U)
(* -2 (* J (cos (* 1/2 K))))
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
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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))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(* -1 U)
(neg.f64 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
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(* 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))
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
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(* -1 (* 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)))
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(* -2 J)
(*.f64 J #s(literal -2 binary64))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
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(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #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 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
J
(+ J (* -1/8 (* J (pow K 2))))
(fma.f64 J (.f64 (.f64 K K) #s(literal -1/8 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 K (.f64 K (fma.f64 J #s(literal -1/8 binary64) (.f64 #s(literal 1/384 binary64) (.f64 J (.f64 K K))))) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J #s(literal 1/384 binary64) (.f64 J (.f64 (.f64 K K) #s(literal -1/46080 binary64)))) (.f64 J #s(literal -1/8 binary64))) J)
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))

rewrite375.0ms (3.4%)

Memory

-2.0MiB live, 603.3MiB allocated

Rules

4 656×	`lower-fma.f32`
4 652×	`lower-fma.f64`
4 524×	`lower-/.f32`
4 516×	`lower-/.f64`
4 356×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	386
0	88	378
1	279	330
2	1579	321
0	8472	321

Stop Event

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

Counts

25 → 814

Calls

Call 1

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

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

eval517.0ms (4.7%)

Memory: 7.7MiB live, 366.3MiB allocated
Compiler: Compiled 49 751 to 4 821 computations (90.3% saved)

prune342.0ms (3.1%)

Memory

23.6MiB live, 341.4MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 548	12	1 560
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	1 555	16	1 571

Accuracy

99.9%

Counts

1 571 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(.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)))))
▶	65.2%	(.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 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
	59.6%	(.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
	57.3%	(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 U U) (.f64 (.f64 J (.f64 #s(literal 4 binary64) J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
	43.1%	(.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)))))
▶	51.1%	#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 K #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
▶	53.2%	#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 -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
	39.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J)))
	34.5%	#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 J #s(literal -2 binary64))))
▶	13.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))))
	15.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))))
	53.2%	#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 1 binary64) (/.f64 #s(literal -1/2 binary64) J))))
✓	53.3%	#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)))
	28.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.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))
▶	29.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64))))

Compiler

Compiled 614 to 409 computations (33.4% saved)

simplify262.0ms (2.4%)

Memory

-23.2MiB live, 188.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff	0	(.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
cost-diff	0	#s(approx (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))
cost-diff	0	(neg.f64 U)
cost-diff	0	(.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	#s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64))))
cost-diff	0	(sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
cost-diff	0	(.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 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) J)
cost-diff	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 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
cost-diff	320	(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))

Rules

4 616×	`lower-*.f32`
4 592×	`lower-*.f64`
4 484×	`lower-fma.f32`
4 476×	`lower-fma.f64`
2 506×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	644
0	100	628
1	202	616
2	531	585
3	1629	585
4	2831	585
5	4574	585
6	5180	585
7	6159	585
8	6716	585
9	7680	585
0	8181	569

Stop Event

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

Calls

Call 1

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

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

localize342.0ms (3.1%)

Memory

16.3MiB live, 248.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
accuracy	0.1171875	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
accuracy	7.563468706773339	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
accuracy	28.968756074213733	#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 K #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
accuracy	0.1171875	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
accuracy	0.1328125	(/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
accuracy	0.234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
accuracy	29.82726299393295	#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 -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
accuracy	3.5676942088693093	(.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64))))
accuracy	6.118612671838607	#s(approx (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))
accuracy	17.877035952270674	(/.f64 (.f64 J J) (.f64 U U))
accuracy	54.440310636237776	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))))
accuracy	0	(*.f64 J #s(literal -2 binary64))
accuracy	29.4581321347232	#s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64)))
accuracy	29.82726299393295	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64))))
accuracy	2.1427342156123683	(fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
accuracy	5.423115979326939	(.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 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) J)
accuracy	7.889822153156178	(/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
accuracy	8.412475200186645	(sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))

Samples

269.0ms

256×

valid

Compiler

Compiled 478 to 67 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-cos: 145.0ms (59.6% of total)

ival-mult: 57.0ms (23.4% of total)

ival-neg: 14.0ms (5.8% of total)

ival-div: 11.0ms (4.5% of total)

ival-add: 8.0ms (3.3% of total)

ival-pow2: 4.0ms (1.6% of total)

ival-sqrt: 3.0ms (1.2% of total)

exact: 1.0ms (0.4% of total)

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

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

series107.0ms (1%)

Memory

-13.6MiB live, 100.7MiB allocated

Counts

23 → 660

Calls

Call 1

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

Outputs
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor -inf J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor -inf J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor -inf J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor -inf J) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow J 2)) (taylor 0 K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow J 2) (pow K 2))) (* 4 (pow J 2))) (taylor 0 K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* 1/12 (* (pow J 2) (pow K 2)))))) (taylor 0 K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* (pow K 2) (+ (* -1/360 (* (pow J 2) (pow K 2))) (* 1/12 (pow J 2))))))) (taylor 0 K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor inf K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor -inf K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor -inf K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor -inf K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor -inf K) (#s(alt (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (patch (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf K) (#s(alt (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf K) (#s(alt (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf K) (#s(alt (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())

Calls

165 calls:

Time	Variable		Point	Expression
18.0ms	J	@	0	(* (* (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) J) (* -2 (cos (* K 1/2))))
2.0ms	K	@	0	(* -2 (cos (* K 1/2)))
1.0ms	U	@	inf	(* (* (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) J) (* -2 (cos (* K 1/2))))
1.0ms	K	@	inf	(+ (* J (* -2 (cos (* K 1/2)))) (/ (* -1/4 (* U U)) (* J (cos (* K 1/2)))))
1.0ms	K	@	-inf	(+ (* J (* -2 (cos (* K 1/2)))) (/ (* -1/4 (* U U)) (* J (cos (* K 1/2)))))

simplify365.0ms (3.3%)

Memory

16.0MiB live, 554.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 212×	`lower-fma.f64`
11 212×	`lower-fma.f32`
8 198×	`lower-*.f64`
8 198×	`lower-*.f32`
4 692×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	806	16384
1	2685	16067
0	8666	15063

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 649

Calls

Call 1

Inputs
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (pow J 2))
(+ (* -1 (* (pow J 2) (pow K 2))) (* 4 (pow J 2)))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* 1/12 (* (pow J 2) (pow K 2))))))
(+ (* 4 (pow J 2)) (* (pow K 2) (+ (* -1 (pow J 2)) (* (pow K 2) (+ (* -1/360 (* (pow J 2) (pow K 2))) (* 1/12 (pow J 2)))))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* 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))))))))
J
(+ J (* 1/8 (/ (pow U 2) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))
(+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (+ (* 2 (* (/ (pow J 6) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (+ (* 2 (* (/ (pow J 6) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* 1/32 (* (/ (* (pow K 2) (pow U 2)) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (* (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)))))))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* 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)))))))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* U (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))))))
(+ (* 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))))))))
(+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
J
(* J (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
J
(* -1 (* J (- (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) 1)))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
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(* -1 U)
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U
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-2
(- (* 1/4 (pow K 2)) 2)
(- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)
(- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2)
(* -2 (cos (* 1/2 K)))
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(* -2 (cos (* 1/2 K)))
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(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
(* -2 (cos (* 1/2 K)))
1
(+ 1 (* -1/8 (pow K 2)))
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(+ 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))
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(* 1/4 (/ U (pow J 2)))
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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))))))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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1
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(+ 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)))))))))))
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1
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1
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(/ (pow J 2) (pow U 2))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))

Outputs
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(* 4 (* (pow J 2) (+ 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)))))) (* 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)))) (+ (* 1/512 (/ (* (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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J
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(+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))
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(* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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J
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(* J (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
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(* J (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
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J
(* -1 (* J (- (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) 1)))
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(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) 1)))
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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(fma.f64 J #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 J (*.f64 K K))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 J)
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
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(* 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))))))))
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(* -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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(* -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))))))))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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U
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(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(fma.f64 (.f64 K K) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
(+ 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)))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 K K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(+ 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)))))))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 (.f64 K K) #s(literal -1/4 binary64)) (fma.f64 (.f64 K K) (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) #s(literal -1/24 binary64)) (.f64 J J)))) (/.f64 (.f64 (.f64 U U) #s(literal -1/24 binary64)) (.f64 J J))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 U U)) (.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 J J (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.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 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #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 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (.f64 U U) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (.f64 J J) (.f64 U U))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) J))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(fma.f64 (.f64 K K) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 U U) J) #s(literal -5/384 binary64))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 K K) (fma.f64 (/.f64 (.f64 U U) J) #s(literal 7/23040 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 U U) J) #s(literal -5/384 binary64)))) (.f64 (/.f64 (.f64 U U) J) #s(literal -5/384 binary64)))) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))

rewrite564.0ms (5.1%)

Memory

-137.9MiB live, 505.1MiB allocated

Rules

7 264×	`lower-*.f32`
7 240×	`lower-*.f64`
5 084×	`lower-fma.f32`
5 076×	`lower-fma.f64`
3 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	522
0	100	508
1	359	464
2	2527	458
0	9343	455

Stop Event

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

Counts

23 → 531

Calls

Call 1

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

Outputs
(+.f64 (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))) (.f64 J (*.f64 J #s(literal 2 binary64))))
(+.f64 (.f64 J (.f64 J #s(literal 2 binary64))) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) #s(literal 1/2 binary64)) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 J J) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 J (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))))
(fma.f64 J (.f64 (.f64 #s(literal 4 binary64) J) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 J (.f64 (.f64 #s(literal 4 binary64) J) #s(literal 1/2 binary64)) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 J J) #s(literal 2 binary64) (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 J J) (.f64 #s(literal 4 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) #s(literal 1/2 binary64) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 K) (.f64 #s(literal 4 binary64) (.f64 J J))) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64))) (.f64 J (.f64 J #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 J J) (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 J #s(literal 2 binary64)) J (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 J (.f64 J #s(literal 2 binary64))) (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 J (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 J (.f64 J #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) J) (.f64 J (.f64 #s(literal 1/2 binary64) (cos.f64 K))) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) J) (.f64 J #s(literal 1/2 binary64)) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 J J)) #s(literal 4 binary64) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (.f64 J J)) #s(literal 4 binary64) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (cos.f64 K)) #s(literal 1/2 binary64) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) #s(literal 4 binary64)) (.f64 J J) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) J) (.f64 #s(literal 4 binary64) J) (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (.f64 J #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)) (.f64 J (.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (.f64 J (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 J (.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 K)) (.f64 #s(literal 4 binary64) J)) J (.f64 J (*.f64 J #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) J) (.f64 #s(literal 4 binary64) J) (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 J (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 4 binary64) J)) J (.f64 (cos.f64 K) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 J (.f64 J #s(literal 2 binary64))) (.f64 (.f64 J (.f64 J #s(literal 2 binary64))) (.f64 J (.f64 J #s(literal 2 binary64)))))) (+.f64 (pow.f64 (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 J (.f64 J #s(literal 2 binary64))) (.f64 J (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))) (.f64 J (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 J (.f64 J #s(literal 2 binary64))) (.f64 J (.f64 J #s(literal 2 binary64))))) (-.f64 (.f64 (cos.f64 K) (.f64 J (.f64 J #s(literal 2 binary64)))) (.f64 J (*.f64 J #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (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 (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (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 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))
(/.f64 (.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 4 binary64) (.f64 J J))) (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 (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 4 binary64) (*.f64 J J))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(.f64 J (.f64 (*.f64 #s(literal 4 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (.f64 J J) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 4 binary64) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)))
(.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (.f64 J (.f64 J #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 4 binary64) J) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 J J))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) J) (*.f64 #s(literal 4 binary64) J))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (.f64 J (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) J)) J)
(exp.f64 (fma.f64 (log1p.f64 (/.f64 (.f64 U U) #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))) #s(literal 1/2 binary64) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))))
(exp.f64 (+.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))) (.f64 (log1p.f64 (/.f64 (.f64 U U) #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.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 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.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 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 J (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 J (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #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 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.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 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))
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eval175.0ms (1.6%)

Memory: 7.4MiB live, 397.6MiB allocated
Compiler: Compiled 36 632 to 2 623 computations (92.8% saved)

prune419.0ms (3.8%)

Memory

-16.7MiB live, 592.8MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 262	17	1 279
Fresh	5	4	9
Picked	1	4	5
Done	0	2	2
Total	1 268	27	1 295

Accuracy

100.0%

Counts

1 295 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.2%	(.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 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶	59.6%	(.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
	57.3%	(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 U U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))) #s(literal 1/2 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶	43.1%	(.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)))))
	54.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
	50.3%	#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 K #s(literal 1/2 binary64)))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* K 1/2)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
	13.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	50.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 J #s(literal -2 binary64))) (.f64 J (/.f64 #s(literal 1 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
	30.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (fma.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))))
	53.1%	#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 -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
✓	53.2%	#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 -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
	29.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1/2 (* J (cos (* K 1/2)))) (/.f64 #s(literal -1/2 binary64) J))))
	53.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))
▶	53.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
	34.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	14.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -1 binary64)))))
▶	14.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))))
✓	13.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))))
	14.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 J J) U))) #s(literal -1 binary64)))))
	14.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)) #s(literal -1 binary64)))))
▶	15.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))))
✓	53.3%	#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)))
	28.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.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))
	26.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* J (* -2 (cos (* K 1/2)))) (/ (* -1/4 (* U U)) (* J (cos (* K 1/2))))) (fma.f64 J #s(literal -2 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) K) K (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
	28.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* J (* -2 (cos (* K 1/2)))) (/ (* -1/4 (* U U)) (* J (cos (* K 1/2))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
✓	29.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64))))

Compiler

Compiled 936 to 606 computations (35.3% saved)

simplify314.0ms (2.8%)

Memory

0.2MiB live, 272.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	(.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)))))
cost-diff	384	(/.f64 K #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) J)
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
cost-diff	0	(neg.f64 U)
cost-diff	0	(.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))))
cost-diff	384	(/.f64 (*.f64 (/.f64 J U) J) U)
cost-diff	0	#s(approx (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))
cost-diff	0	(neg.f64 U)
cost-diff	0	(.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))))
cost-diff	0	(fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J)
cost-diff	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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))

Rules

9 870×	`lower-fma.f32`
9 866×	`lower-fma.f64`
4 488×	`lower-*.f32`
4 458×	`lower-*.f64`
3 234×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	635
0	110	617
1	193	605
2	408	581
3	1045	581
4	2241	581
5	4439	581
6	6726	581
7	7805	581
0	8066	569

Stop Event

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

Calls

Call 1

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

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

localize258.0ms (2.3%)

Memory

13.1MiB live, 294.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24904252930532603	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	5.432268290078095	(.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)))))
accuracy	8.412475200186645	(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	29.4581321347232	#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
accuracy	0.00390625	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.1171875	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	0.1796875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J))
accuracy	29.82726299393295	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	3.5676942088693093	(.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64))))
accuracy	4.75029889926732	(/.f64 (*.f64 (/.f64 J U) J) U)
accuracy	6.118612671838607	#s(approx (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))
accuracy	54.440310636237776	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))))
accuracy	0	(neg.f64 U)
accuracy	3.5676942088693093	(.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64)))
accuracy	31.7634734676971	#s(approx (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))
accuracy	54.440310636237776	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))))
accuracy	5.423115979326939	(.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx ( (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J)
accuracy	7.889822153156178	(/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))))
accuracy	8.412475200186645	(sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64)))
accuracy	12.315542016684171	#s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))

Samples

188.0ms

256×

valid

Compiler

Compiled 504 to 59 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-cos: 81.0ms (49.5% of total)

ival-mult: 42.0ms (25.7% of total)

ival-div: 16.0ms (9.8% of total)

ival-sqrt: 12.0ms (7.3% of total)

ival-add: 5.0ms (3.1% of total)

ival-pow2: 4.0ms (2.4% of total)

exact: 1.0ms (0.6% of total)

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

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

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

series61.0ms (0.6%)

Memory

7.3MiB live, 123.3MiB allocated

Counts

25 → 708

Calls

Call 1

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

Outputs
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))) (taylor 0 U) (#s(alt (.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (taylor inf U) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))))) (taylor inf U) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor inf U) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))))) (taylor inf U) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf U) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -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)))))))))) (taylor -inf U) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -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)))))))) (taylor -inf U) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -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))))))))) (taylor -inf U) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (taylor 0 K) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))))))))) (taylor 0 K) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))))))))))) (taylor 0 K) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))))))))))))) (taylor 0 K) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor inf K) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor inf K) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor inf K) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))) (taylor inf K) (#s(alt (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (patch (.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))) (patch #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))) (patch #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (taylor 0 J) (#s(alt #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))) (patch #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf U) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ U (pow J 2))) (taylor 0 K) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 (/ (* (pow K 2) U) (pow J 2))) (* 1/4 (/ U (pow J 2)))) (taylor 0 K) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (/ U (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ U (pow J 2))) (* 1/48 (/ U (pow J 2)))))) (* 1/16 (/ U (pow J 2)))))) (taylor 0 K) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)))))))))) (taylor 0 K) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 J) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 J) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 J) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf J) (#s(alt (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) (patch (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #<representation binary64>) () ())) ())
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#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

177 calls:

Time	Variable		Point	Expression
7.0ms	U	@	0	(* (neg U) (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1))
0.0ms	K	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.0ms	J	@	inf	(/ -1/2 J)
0.0ms	J	@	0	(/ -1/2 J)
0.0ms	J	@	-inf	(/ -1/2 J)

simplify359.0ms (3.3%)

Memory

-17.9MiB live, 689.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 290×	`lower-fma.f64`
13 290×	`lower-fma.f32`
9 692×	`lower-*.f64`
9 692×	`lower-*.f32`
4 458×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	768	17944
1	2547	17453
0	8349	16387

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 695

Calls

Call 1

Inputs
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(* (* 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))))))))
J
(+ J (* 1/8 (/ (pow U 2) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))
(+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* J (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (+ (* 2 (* (/ (pow J 6) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 4) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))) (+ (* 2 (* (/ (pow J 6) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ (pow J 2) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* 1/32 (* (/ (* (pow K 2) (pow U 2)) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (* (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)))))))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* 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)))))))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* U (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))))))
(+ (* 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))))))))
(+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
J
(* J (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
J
(* -1 (* J (- (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))) 1)))
(* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) 1)))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
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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)))))))) (* (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))))
(* 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) (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
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(fma.f64 (.f64 U U) (fma.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J (.f64 J J)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 U U) (fma.f64 (.f64 U U) (fma.f64 (.f64 U U) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) #s(literal -1/512 binary64)) (/.f64 (.f64 #s(literal 1/64 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J (.f64 J J)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J (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)))))))
(neg.f64 (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(.f64 U (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(.f64 U (fma.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(.f64 U (fma.f64 #s(literal -4 binary64) (.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64)))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (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))))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) (neg.f64 U))
(* -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))))))))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64))))) (neg.f64 U))
(* -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)))))))))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (.f64 U U)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64)))))) (neg.f64 U))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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))
(+ (* -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))))))))))))
(fma.f64 (.f64 K K) (fma.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 U U) 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))))) (.f64 #s(literal 1/4 binary64) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))) (.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)))
(+ (* -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)))))))))))))
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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)))) (+ (* 1/512 (/ (* (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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J
(+ J (* 1/8 (/ (pow U 2) (* J (+ 1/2 (* 1/2 (cos K)))))))
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J
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J
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1
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 U U)) (.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 #s(literal 1/4 binary64) (.f64 U U)) (.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 #s(literal 1/4 binary64) (.f64 U U)) (.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 #s(literal 1/4 binary64) (.f64 U U)) (.f64 (.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))

rewrite306.0ms (2.8%)

Memory

23.4MiB live, 505.2MiB allocated

Rules

4 422×	`lower-/.f32`
4 408×	`lower-/.f64`
4 324×	`lower-*.f32`
4 294×	`lower-*.f64`
3 534×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	528
0	110	510
1	330	454
2	1731	442
0	8380	436

Stop Event

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

Counts

25 → 605

Calls

Call 1

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

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

eval204.0ms (1.9%)

Memory: -31.5MiB live, 415.5MiB allocated
Compiler: Compiled 37 375 to 3 275 computations (91.2% saved)

prune257.0ms (2.3%)

Memory

25.3MiB live, 471.1MiB allocated

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	1 320	8	1 328
Fresh	4	12	16
Picked	2	3	5
Done	0	6	6
Total	1 326	29	1 355

Accuracy

100.0%

Counts

1 355 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
✓	65.2%	(.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 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓	59.6%	(.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
	37.4%	(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))))) #s(literal -1 binary64)) (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal -1 binary64)))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
	43.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 #s(literal 2 binary64) J))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
	34.5%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) 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)))))
	54.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
	50.3%	#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 K #s(literal 1/2 binary64)))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* K 1/2)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
	13.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	30.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (fma.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))))
	53.2%	#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 -1/2 binary64) J)))
	53.1%	#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 -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
✓	53.2%	#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 -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
	29.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1/2 (* J (cos (* K 1/2)))) (/.f64 #s(literal -1/2 binary64) J))))
	9.2%	#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 #s(literal 0 binary64) U)) #s(approx (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))))
	53.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	9.1%	#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 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))))
	14.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -1 binary64)))))
✓	14.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))))
✓	13.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (.f64 U U)) #s(literal -1 binary64)))))
	14.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 J J) U))) #s(literal -1 binary64)))))
	14.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)) #s(literal -1 binary64)))))
✓	15.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))))
✓	53.3%	#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)))
	28.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.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))
	26.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* J (* -2 (cos (* K 1/2)))) (/ (* -1/4 (* U U)) (* J (cos (* K 1/2))))) (fma.f64 J #s(literal -2 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) K) K (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
	28.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* J (* -2 (cos (* K 1/2)))) (/ (* -1/4 (* U U)) (* J (cos (* K 1/2))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
✓	29.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64))))

Compiler

Compiled 1 521 to 575 computations (62.2% saved)

regimes126.0ms (1.1%)

Memory

-27.6MiB live, 171.4MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 #s(literal 1 binary64) #s(approx (/ -1/2 (* J (cos (* K 1/2)))) (/.f64 #s(literal -1/2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* J (* -2 (cos (* K 1/2)))) (/ (* -1/4 (* U U)) (* J (cos (* K 1/2))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #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) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J 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) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) 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) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -1 binary64)))))
#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 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (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 #s(literal -2 binary64) 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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 J J) U))) #s(literal -1 binary64)))))
#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 #s(literal 0 binary64) U)) #s(approx (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))))
#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 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U))) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 J U) J) U) #s(literal -1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* J (* -2 (cos (* K 1/2)))) (/ (* -1/4 (* U U)) (* J (cos (* K 1/2))))) (fma.f64 J #s(literal -2 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 J #s(literal 1/4 binary64))) K) K (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U 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 #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 1 binary64) (/.f64 #s(literal -1/2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) 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)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* K 1/2)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
#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 -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.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 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 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 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal 1 binary64))))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 #s(literal 2 binary64) J))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J))))) #s(literal -1 binary64)) (fma.f64 U (/.f64 U #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J J)))) #s(literal -1 binary64)))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) J)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #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 #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)))) (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 K #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U #s(literal -1/4 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 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 #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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (fma.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 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 (.f64 #s(literal 4 binary64) (.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 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))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) #s(literal 1/2 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) (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 (fma.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 1 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 J #s(literal -2 binary64))) (.f64 J (/.f64 #s(literal 1 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 U U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (.f64 #s(literal 4 binary64) (.f64 J (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))) #s(literal 1/2 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (/.f64 (.f64 U U) (.f64 (.f64 J (.f64 #s(literal 4 binary64) J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.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)))))))))
(.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) #s(approx (+ (* -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))))

Calls

6 calls:

37.0ms	K
17.0ms	(/.f64 K #s(literal 2 binary64))
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)))))
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms	U

Results

Accuracy	Segments	Branch
80.8%	2	`J`
78.2%	1	`K`
84.4%	2	`U`
99.8%	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)))))`
78.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
78.2%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes14.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

43 → 6

Calls

Call 1

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

Calls

1 calls:

11.0ms

(*.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
92.6%	6	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes29.0ms (0.3%)

Memory

-23.3MiB live, 56.7MiB allocated

Counts

40 → 5

Calls

Call 1

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

Calls

2 calls:

14.0ms

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
72.8%	3	`U`
86.7%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes14.0ms (0.1%)

Memory

-7.3MiB live, 31.3MiB allocated

Counts

36 → 5

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
86.3%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes49.0ms (0.4%)

Memory

6.7MiB live, 125.8MiB allocated

Counts

26 → 6

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	K
10.0ms	J
10.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
7.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.8%	4	`K`
59.8%	4	`(/.f64 K #s(literal 2 binary64))`
64.6%	5	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
65.8%	2	`J`
82.9%	6	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory

26.5MiB live, 26.6MiB allocated

Counts

20 → 6

Calls

Call 1

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

Calls

1 calls:

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
82.9%	6	`(.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)

regimes14.0ms (0.1%)

Memory

1.9MiB live, 39.4MiB allocated

Counts

18 → 5

Calls

Call 1

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

Calls

2 calls:

7.0ms

(*.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)))))

6.0ms

Results

Accuracy	Segments	Branch
52.0%	3	`U`
70.6%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes9.0ms (0.1%)

Memory

-9.0MiB live, 29.6MiB allocated

Counts

10 → 4

Calls

Call 1

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

Calls

2 calls:

5.0ms

(*.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

Results

Accuracy	Segments	Branch
49.6%	2	`J`
64.3%	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 31 to 20 computations (35.5% saved)

regimes4.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

7 → 4

Calls

Call 1

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
64.1%	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)

regimes11.0ms (0.1%)

Memory

-2.4MiB live, 36.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

3.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
2.0ms	U
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	K

Results

Accuracy	Segments	Branch
49.6%	2	`J`
49.3%	4	`U`
43.2%	4	`K`
43.2%	4	`(/.f64 K #s(literal 2 binary64))`
39.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
50.6%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes11.0ms (0.1%)

Memory

-20.8MiB live, 33.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	J
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	K
1.0ms	U

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	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
37.3%	1	`J`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.766506536719191e+303	+inf
0.0ms	-inf	-5.337514229773087e+299

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	5.766506536719191e+303	+inf
0.0ms	7.008932038292988e-71	1.6270325440675976e-69
0.0ms	-1.2438481967822622e-214	-1.1551945052757185e-219
0.0ms	-7.08612292757473e-73	-1.6188625034124912e-77
0.0ms	-5.337514229773087e+299	-1.7064844625872582e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.766506536719191e+303	+inf
0.0ms	-1.2438481967822622e-214	-1.1551945052757185e-219
0.0ms	-7.08612292757473e-73	-1.6188625034124912e-77
0.0ms	-5.337514229773087e+299	-1.7064844625872582e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.766506536719191e+303	+inf
0.0ms	-1.2438481967822622e-214	-1.1551945052757185e-219
0.0ms	-7.08612292757473e-73	-1.6188625034124912e-77
0.0ms	-5.337514229773087e+299	-1.7064844625872582e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	5.766506536719191e+303	+inf
0.0ms	-1.2438481967822622e-214	-1.1551945052757185e-219
0.0ms	-7.08612292757473e-73	-1.6188625034124912e-77
0.0ms	-7.48204886411163e+157	-1.3874517023901866e+153
0.0ms	-5.337514229773087e+299	-1.7064844625872582e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	5.766506536719191e+303	+inf
0.0ms	-1.2438481967822622e-214	-1.1551945052757185e-219
0.0ms	-7.08612292757473e-73	-1.6188625034124912e-77
0.0ms	-7.48204886411163e+157	-1.3874517023901866e+153
0.0ms	-5.337514229773087e+299	-1.7064844625872582e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	-1.7986290175761815e-292	2.021521157390909e-237
0.0ms	-7.08612292757473e-73	-1.6188625034124912e-77
0.0ms	-7.48204886411163e+157	-1.3874517023901866e+153
0.0ms	-5.337514229773087e+299	-1.7064844625872582e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.7986290175761815e-292	2.021521157390909e-237
0.0ms	-2.3268127675603617e-18	-6.1034699095377305e-27
0.0ms	-5.337514229773087e+299	-1.7064844625872582e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-1.7986290175761815e-292	2.021521157390909e-237
0.0ms	-2.3268127675603617e-18	-6.1034699095377305e-27
0.0ms	-5.337514229773087e+299	-1.7064844625872582e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch12.0ms (0.1%)

Memory

-12.9MiB live, 26.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.9128742002291364e+27	5.866598368939122e+27

Samples

8.0ms

64×

valid

Compiler

Compiled 94 to 67 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (31.7% of total)

ival-cos: 2.0ms (31.7% of total)

ival-div: 1.0ms (15.8% of total)

ival-pow2: 1.0ms (15.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

simplify23.0ms (0.2%)

Memory

-19.7MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2631
1	191	2631
2	205	2631
3	218	2631
4	224	2631
5	226	2631

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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(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1298074214633707/649037107316853453566312041152512 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2247116418577895/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64)))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -1298074214633707/649037107316853453566312041152512 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (.f64 #s(literal -2 binary64) J))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -2247116418577895/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (.f64 U #s(approx (+ ( -2 (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U)))) -1) #s(literal -1 binary64))))))))
(if (<=.f64 J #s(literal 5499999999999999660764692480 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 J #s(literal -2 binary64)))))
(if (<=.f64 J #s(literal 5499999999999999660764692480 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness1.1s (9.8%)

Memory

23.9MiB live, 964.1MiB allocated

Rules

19 354×	`lower-fma.f64`
19 354×	`lower-fma.f32`
11 866×	`lower-fma.f64`
11 866×	`lower-fma.f32`
8 822×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	3717
1	1153	3609
2	4514	3477
0	8499	3319
0	55	386
0	88	378
1	279	330
2	1579	321
0	8472	321
0	72	522
0	100	508
1	359	464
2	2527	458
0	9343	455
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66
0	691	14278
1	2218	13887
0	8331	13007

Stop Event

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

Compiler

Compiled 2 077 to 640 computations (69.2% saved)

preprocess94.0ms (0.9%)

Memory

4.8MiB live, 158.5MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 3 494 to 478 computations (86.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze346.0ms (3.1%)

sample1.6s (14.7%)

explain238.0ms (2.2%)

preprocess122.0ms (1.1%)

eval0.0ms (0%)

prune8.0ms (0.1%)

simplify50.0ms (0.5%)

localize112.0ms (1%)

series64.0ms (0.6%)

simplify329.0ms (3%)

rewrite252.0ms (2.3%)

eval125.0ms (1.1%)

prune105.0ms (0.9%)

simplify236.0ms (2.1%)

localize261.0ms (2.4%)

series87.0ms (0.8%)

simplify328.0ms (3%)

rewrite375.0ms (3.4%)

eval517.0ms (4.7%)

prune342.0ms (3.1%)

simplify262.0ms (2.4%)

localize342.0ms (3.1%)

series107.0ms (1%)

simplify365.0ms (3.3%)

rewrite564.0ms (5.1%)

eval175.0ms (1.6%)

prune419.0ms (3.8%)

simplify314.0ms (2.8%)

localize258.0ms (2.3%)

series61.0ms (0.6%)

simplify359.0ms (3.3%)

rewrite306.0ms (2.8%)

eval204.0ms (1.9%)

prune257.0ms (2.3%)

regimes126.0ms (1.1%)

regimes14.0ms (0.1%)

regimes29.0ms (0.3%)

regimes14.0ms (0.1%)

regimes49.0ms (0.4%)

regimes8.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

simplify23.0ms (0.2%)

soundness1.1s (9.8%)

preprocess94.0ms (0.9%)

end0.0ms (0%)

Profiling