Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze288.0ms (2.4%)

Memory

-19.9MiB live, 459.2MiB 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 (13.3%)

Memory

64.5MiB live, 2 191.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 976.0ms

ival-mult: 305.0ms (31.3% of total)

ival-cos: 219.0ms (22.4% of total)

ival-pow2: 165.0ms (16.9% of total)

ival-div: 149.0ms (15.3% of total)

ival-sqrt: 60.0ms (6.1% of total)

ival-add: 54.0ms (5.5% of total)

exact: 13.0ms (1.3% of total)

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

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

Bogosity

explain481.0ms (4%)

Memory

-242.3MiB live, 442.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
30	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))))`
27	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	117	(-1.2059778002970353e-254 -1.9105359705990235e+295 8.84194426126123e-283)	-	`(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	117	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	30	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	27
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	27
↳	`(+.f64 #s(literal 1 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	57
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	57
`*.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**	27	0

Confusion

	Predicted +	Predicted -
+	57	0
-	90	109

Precision

0.3877551020408163

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	57	0	0
-	90	0	109

Precision?

0.3877551020408163

Recall?

1.0

Freqs

test

number	freq
0	109
1	120
2	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms

512×

valid

Compiler

Compiled 251 to 55 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 21.0ms (41.5% of total)

ival-cos: 11.0ms (21.7% of total)

ival-div: 7.0ms (13.8% of total)

ival-pow2: 5.0ms (9.9% of total)

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

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

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

exact: 1.0ms (2% of total)

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

preprocess102.0ms (0.8%)

Memory

-28.9MiB live, 133.6MiB 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)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(.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

▶

78.8%

(*.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)

simplify47.0ms (0.4%)

Memory

8.8MiB live, 47.0MiB 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))

localize123.0ms (1%)

Memory

-11.2MiB live, 102.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.244472509768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	6.399367946007525	(.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	7.015320040223665	(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

85.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-add: 47.0ms (68.4% of total)

ival-mult: 9.0ms (13.1% of total)

ival-cos: 5.0ms (7.3% of total)

ival-div: 3.0ms (4.4% of total)

ival-sqrt: 2.0ms (2.9% of total)

ival-pow2: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory

32.9MiB live, 69.3MiB 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
8.0ms	J	@	0	(* -2 J)
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	K	@	-inf	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms	J	@	0	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

simplify405.0ms (3.4%)

Memory

13.6MiB live, 602.3MiB 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))))

rewrite311.0ms (2.6%)

Memory

-24.9MiB live, 423.4MiB 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 (/.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))))))
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(.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))))
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(.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)))
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(.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)))))
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(.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
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(.f64 (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
(.f64 (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
(.f64 (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (.f64 J #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)))
(.f64 (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) U)))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) J) (/.f64 U (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) J) (/.f64 (neg.f64 U) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 U (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
(.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))))
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(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 J #s(literal 2 binary64))) (/.f64 U (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal 1/2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 U J))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (neg.f64 U) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
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(.f64 (/.f64 U (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) J))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (neg.f64 U) J))
(.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) U))
(.f64 (/.f64 (neg.f64 U) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) J))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (.f64 U U) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (/.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (neg.f64 U))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 U))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) J))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 U (.f64 J #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))))

eval75.0ms (0.6%)

Memory: 15.1MiB live, 163.1MiB allocated
Compiler: Compiled 16 532 to 1 763 computations (89.3% saved)

prune134.0ms (1.1%)

Memory

10.8MiB live, 173.7MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	462	17	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	463	17	480

Accuracy

99.9%

Counts

480 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(.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)))))
▶	71.3%	(.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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
▶	75.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))
	46.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)))))))
	9.9%	(.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))))))
▶	58.4%	(.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)))))
	66.6%	(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
	43.6%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (.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)))))
	45.7%	(.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)))))
	36.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
▶	55.2%	#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))))))
	37.3%	#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)))
	10.9%	#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))))
	55.8%	#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)))
	50.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.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)))))))
	33.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
▶	37.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 930 to 588 computations (36.8% saved)

simplify200.0ms (1.7%)

Memory

1.4MiB live, 307.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
cost-diff	384	(/.f64 K #s(literal 2 binary64))
cost-diff	5504	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	(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)))))
cost-diff	0	#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))))))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
cost-diff	384	(/.f64 K #s(literal 2 binary64))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
cost-diff	384	(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
cost-diff	384	(/.f64 K #s(literal 2 binary64))
cost-diff	640	(.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))
cost-diff	640	(.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))

Rules

7 630×	`lower-fma.f32`
7 626×	`lower-fma.f64`
4 742×	`lower-*.f32`
4 706×	`lower-*.f64`
2 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	575
0	101	571
1	191	555
2	457	519
3	1138	519
4	4359	519
5	4575	519
6	5188	519
7	7511	519
0	8046	510

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (1.5%)

Memory

-23.4MiB live, 386.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.244472509768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))
accuracy	6.399367946007525	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
accuracy	7.015320040223665	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))
accuracy	27.38955562044039	#s(approx (cos (/ K 2)) #s(literal 1 binary64))
accuracy	0.01953125	(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)))))
accuracy	0.15234375	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	7.121459249645306	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	27.56306074880394	#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))))))
accuracy	6.399367946007525	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
accuracy	7.023339035526061	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
accuracy	8.388079631554822	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))
accuracy	14.17788344436395	(/.f64 (.f64 U U) (.f64 J J))
accuracy	0	(neg.f64 U)
accuracy	40.09095290546848	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.37797122637836866	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
accuracy	3.980390141982629	(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
accuracy	6.399367946007525	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))
accuracy	7.015320040223665	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))

Samples

108.0ms

256×

valid

Compiler

Compiled 518 to 49 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 28.0ms (40.8% of total)

ival-cos: 15.0ms (21.9% of total)

ival-div: 9.0ms (13.1% of total)

ival-sqrt: 7.0ms (10.2% of total)

ival-add: 5.0ms (7.3% of total)

ival-pow2: 2.0ms (2.9% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series121.0ms (1%)

Memory

5.7MiB live, 161.0MiB allocated

Counts

25 → 672

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
12.0ms	U	@	0	(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))))
5.0ms	U	@	inf	(/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))
2.0ms	K	@	0	(+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))))
1.0ms	U	@	0	(/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))
1.0ms	J	@	0	(* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))

simplify423.0ms (3.5%)

Memory

38.0MiB live, 383.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 922×	`lower-fma.f64`
12 922×	`lower-fma.f32`
9 150×	`lower-*.f64`
9 150×	`lower-*.f32`
4 524×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	743	16808
1	2424	16321
0	8318	15382

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 655

Calls

Call 1

Inputs
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
K
K
K
K
K
K
K
K
K
K
K
K
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (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) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* -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))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* 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)))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -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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(/ (+ (* 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
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(+ 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))))))

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

rewrite378.0ms (3.1%)

Memory

-21.2MiB live, 321.9MiB allocated

Rules

4 276×	`lower-fma.f32`
4 272×	`lower-fma.f64`
3 850×	`lower-*.f32`
3 814×	`lower-*.f64`
3 792×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	400
0	101	380
1	338	352
2	2393	352
0	8458	352

Stop Event

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

Counts

25 → 674

Calls

Call 1

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

Outputs
(+.f64 (.f64 J #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))))
(+.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (-.f64 (.f64 J #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 J #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))))))
(fma.f64 J #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 J (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))))) (.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 J #s(literal 1/2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 J (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))))) (.f64 J #s(literal 1 binary64)))
(fma.f64 (.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))))
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64))) (.f64 J #s(literal 1 binary64)))
(fma.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) J (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 (.f64 J #s(literal 1 binary64)) (cos.f64 (.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 2 binary64)) J (.f64 J #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) J) #s(literal 2 binary64) (.f64 J #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 J #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 J #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 J #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 J #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.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 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 J #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.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 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))))) (.f64 J #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 J #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 J #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 J #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.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 (neg.f64 (.f64 (.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 J #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.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 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))))) (.f64 J #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 3 binary64)) (.f64 (.f64 J #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 J #s(literal 1 binary64)) (.f64 J #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))))
(.f64 J (fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1 binary64)) J)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(/.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 (*.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 #s(literal 1/2 binary64) K))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) K))
(*.f64 K #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) K) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) K)
(.f64 (.f64 #s(literal 2 binary64) K) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 K #s(literal -2 binary64)))
(neg.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) K))))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 K)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 K))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) K))
(*.f64 (neg.f64 K) #s(literal -1/2 binary64))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 J #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) (.f64 J #s(literal 1 binary64)))) (.f64 U U)) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 J #s(literal -2 binary64)))))
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(/.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 U (/.f64 #s(literal 1/2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))) #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) (-.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 U (/.f64 #s(literal 1/2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) (-.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 U (/.f64 #s(literal 1/2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))) #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) (-.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))))) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))))))) #s(literal 1/4 binary64)))

eval233.0ms (1.9%)

Memory: -21.6MiB live, 491.9MiB allocated
Compiler: Compiled 51 912 to 3 819 computations (92.6% saved)

prune282.0ms (2.3%)

Memory

-3.9MiB live, 563.9MiB allocated

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1 517	31	1 548
Fresh	7	5	12
Picked	4	1	5
Done	0	0	0
Total	1 528	37	1 565

Accuracy

99.9%

Counts

1 565 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(.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)))))
	27.3%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 J #s(literal 2 binary64)))))) (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)))))
▶	75.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
	69.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))) U)))))))
	46.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)))))))
	9.9%	(.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))))))
	5.7%	(.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 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
	69.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
	25.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
	23.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
	55.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
▶	62.2%	(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
	62.2%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
	35.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	34.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	34.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	49.5%	(.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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
	37.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	36.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
	55.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	56.8%	#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)))))
	54.5%	#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 #s(approx (cos ( 1/2 K)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))))))
	54.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
	11.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
▶	18.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
	30.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) J) (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) J)) (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) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))))
	10.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
▶	55.8%	#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))))
	33.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
✓	37.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	29.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
	31.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
	32.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
	5.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* 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))))))
	26.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
	61.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
▶	47.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))

Compiler

Compiled 2 024 to 1 230 computations (39.2% saved)

simplify206.0ms (1.7%)

Memory

22.9MiB live, 255.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff	0	(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
cost-diff	192	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 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 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)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
cost-diff	0	(*.f64 U (neg.f64 U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
cost-diff	192	(+.f64 #s(literal 0 binary64) U)
cost-diff	1024	(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
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) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
cost-diff	384	(/.f64 K #s(literal 2 binary64))
cost-diff	704	(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))

Rules

4 306×	`lower-*.f32`
4 274×	`lower-*.f64`
3 720×	`lower-fma.f32`
3 716×	`lower-fma.f64`
2 044×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	588
0	110	596
1	212	578
2	560	528
3	1471	523
4	4606	523
5	5257	523
6	6810	523
0	8006	518

Stop Event

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

Calls

Call 1

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

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

localize322.0ms (2.7%)

Memory

25.2MiB live, 293.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	0.16015625	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy	0.37797122637836883	(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
accuracy	33.35625625803225	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
accuracy	6.481399196007525	(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
accuracy	6.657594615313165	(/.f64 U (*.f64 J J))
accuracy	7.023339035526061	(sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
accuracy	8.388079631554822	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.15234375	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
accuracy	28.198726735826227	#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))))
accuracy	0	(*.f64 U (neg.f64 U))
accuracy	0	(neg.f64 U)
accuracy	28.189024357293192	(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
accuracy	40.09095290546848	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
accuracy	0.37797122637836883	(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
accuracy	3.980390141982629	(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
accuracy	6.399367946007525	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
accuracy	7.015320040223665	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))

Samples

166.0ms

256×

valid

Compiler

Compiled 491 to 59 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 77.0ms (54.7% of total)

ival-div: 26.0ms (18.5% of total)

ival-cos: 19.0ms (13.5% of total)

ival-add: 7.0ms (5% of total)

ival-sqrt: 7.0ms (5% of total)

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

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

exact: 1.0ms (0.7% of total)

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

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

series79.0ms (0.7%)

Memory

-27.0MiB live, 68.9MiB allocated

Counts

25 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Expression
16.0ms	U	@	(* U (neg U))
3.0ms	K	@	(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms	K	@	(* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K))))
1.0ms	U	@	(neg (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* U (cos (* 1/2 K)))))
1.0ms	K	@	(* (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

simplify637.0ms (5.3%)

Memory

10.0MiB live, 445.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 222×	`lower-fma.f64`
14 222×	`lower-fma.f32`
9 422×	`lower-*.f64`
9 422×	`lower-*.f32`
5 216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	816	16122
1	2648	15635
0	8772	14616

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 595

Calls

Call 1

Inputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (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) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* (* 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))))))))
(* -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))))))))))
(* -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))))))))
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U
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1
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U
(+ U (* -1/8 (* (pow K 2) U)))
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(* U (cos (* 1/2 K)))

Outputs
(* 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) (* (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) (* (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) (* (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) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* -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
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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)))
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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))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
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U
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1
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(+.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
U
(+ U (* -1/8 (* (pow K 2) U)))
(fma.f64 U (.f64 (.f64 K K) #s(literal -1/8 binary64)) U)
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))
(fma.f64 (.f64 K K) (.f64 U (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) U)
(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 U (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (*.f64 U #s(literal -1/8 binary64))) U)
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* U (cos (* 1/2 K)))
(.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

rewrite303.0ms (2.5%)

Memory

-20.3MiB live, 375.3MiB allocated

Rules

4 454×	`lower-/.f32`
4 442×	`lower-/.f64`
3 734×	`lower-*.f32`
3 702×	`lower-*.f64`
2 988×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	441
0	110	439
1	373	395
2	2792	379
0	8898	379

Stop Event

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

Counts

25 → 626

Calls

Call 1

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

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

eval186.0ms (1.5%)

Memory: 27.1MiB live, 367.8MiB allocated
Compiler: Compiled 38 958 to 3 402 computations (91.3% saved)

prune295.0ms (2.4%)

Memory

7.5MiB live, 531.0MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 349	15	1 364
Fresh	13	18	31
Picked	3	2	5
Done	0	1	1
Total	1 365	36	1 401

Accuracy

99.9%

Counts

1 401 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(.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)))))
	27.3%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 J #s(literal 2 binary64)))))) (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)))))
	46.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)))))))
	9.9%	(.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))))))
▶	75.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
	69.4%	(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.f64 J #s(literal -2 binary64)))
	37.0%	(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
	37.0%	(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
▶	49.5%	(.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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
	37.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	29.6%	(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
	9.9%	(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
	36.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
▶	55.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
	56.8%	#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)))))
	54.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
	18.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
	30.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) J) (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) J)) (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) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))))
	10.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
✓	55.8%	#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))))
▶	29.5%	#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 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))))
	29.3%	#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 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
	29.3%	#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 J #s(literal -2 binary64))))
	33.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
	47.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓	37.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	29.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
	31.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
	32.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
	26.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
	29.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
	29.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (*.f64 J #s(literal -2 binary64)))))
▶	31.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (*.f64 J #s(literal -2 binary64))))
	61.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
✓	47.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	32.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))

Compiler

Compiled 1 724 to 1 043 computations (39.5% saved)

simplify244.0ms (2%)

Memory

1.5MiB live, 274.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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)) #s(literal -2 binary64))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
cost-diff	0	#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
cost-diff	0	(.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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
cost-diff	5504	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.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)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))))
cost-diff	0	(*.f64 J #s(literal -2 binary64))
cost-diff	0	#s(approx (* (cos (* 1/2 K)) (* J -2)) (*.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)) (* J -2)) (*.f64 J #s(literal -2 binary64))))
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
cost-diff	704	(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))

Rules

6 978×	`lower-fma.f32`
6 968×	`lower-fma.f64`
4 272×	`lower-*.f32`
4 236×	`lower-*.f64`
3 982×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	646
0	115	651
1	227	637
2	515	608
3	1174	608
4	2977	608
5	3820	608
6	4441	608
7	5540	608
8	5721	608
9	5722	608
0	8399	605

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
(.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(sqrt.f64 (fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(fma.f64 U (/.f64 U (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 (.f64 J J) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 U U) (.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (.f64 (.f64 J J) #s(literal 4 binary64))))
(.f64 U (/.f64 U (.f64 J #s(literal 2 binary64))))
(/.f64 (.f64 U U) (.f64 J #s(literal 2 binary64)))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(cos.f64 K)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (cos (* 1/2 K)) (* J -2)) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(literal -2 binary64) J) #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)))))
(.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
#s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(*.f64 K K)
K
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64))
(fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (.f64 #s(approx (cos ( 1/2 K)) #s(literal 1 binary64)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(fma.f64 U (/.f64 U (.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 U U) (.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) (.f64 #s(approx (cos ( 1/2 K)) #s(literal 1 binary64)) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)))))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64))))
(/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)))))
U
(.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))
(.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(literal -2 binary64)
J
(/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 U (.f64 U #s(literal -1/4 binary64)))
U
(*.f64 U #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))

localize212.0ms (1.8%)

Memory

17.9MiB live, 373.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	0.15234375	(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	7.121459249645306	(/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	27.56306074880394	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
accuracy	6.399367946007525	(.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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
accuracy	7.015320040223665	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))
accuracy	27.21479632010129	#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
accuracy	27.38955562044039	#s(approx (cos (/ K 2)) #s(literal 1 binary64))
accuracy	0.15234375	(.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
accuracy	0.7309514151911993	(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
accuracy	28.198726735826227	#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 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))))
accuracy	29.12093362347393	#s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
accuracy	0	(*.f64 J #s(literal -2 binary64))
accuracy	27.21479632010129	#s(approx (* (cos (* 1/2 K)) (* J -2)) (*.f64 J #s(literal -2 binary64)))
accuracy	28.198726735826227	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (*.f64 J #s(literal -2 binary64))))
accuracy	0.37797122637836866	(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
accuracy	3.980390141982629	(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
accuracy	6.399367946007525	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
accuracy	7.015320040223665	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))

Samples

128.0ms

256×

valid

Compiler

Compiled 500 to 60 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 39.0ms (40% of total)

ival-cos: 26.0ms (26.7% of total)

ival-add: 9.0ms (9.2% of total)

const: 9.0ms (9.2% of total)

ival-div: 7.0ms (7.2% of total)

ival-sqrt: 4.0ms (4.1% of total)

ival-pow2: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

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

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

series58.0ms (0.5%)

Memory

-14.9MiB live, 94.3MiB allocated

Counts

26 → 684

Calls

Call 1

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

171 calls:

Time	Variable		Point	Expression
1.0ms	K	@	inf	(+ (* (* K K) (+ (* (* K K) (+ (* (* K K) -1/46080) 1/384)) -1/8)) 1)
0.0ms	K	@	inf	(+ (* (* K K) -1/46080) 1/384)
0.0ms	K	@	inf	(* (cos (* 1/2 K)) -2)
0.0ms	K	@	-inf	(* (cos (* 1/2 K)) -2)
0.0ms	K	@	0	(+ (* (* K K) -1/46080) 1/384)

simplify388.0ms (3.2%)

Memory

46.9MiB live, 620.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 308×	`lower-fma.f64`
12 308×	`lower-fma.f32`
8 882×	`lower-*.f64`
8 882×	`lower-*.f32`
3 972×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	701	16454
1	2287	16024
0	8526	15089

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 679

Calls

Call 1

Inputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (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))))))
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(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
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1
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1
(+ 1 (* -1/4 (pow K 2)))
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(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
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)))))
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(+ 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
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1
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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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)))))
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(* -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)))))
(* -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)))))
(* -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 (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* 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
(* 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) (* (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) (* (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) (* (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) (* (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) (* (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) (* (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) (* (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) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 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) (* (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) (* (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) (* (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))))
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(/.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) (* (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) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 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) (* (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) (* (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) (* (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) (* (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) (* (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))))
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(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
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(* -2 (* J (cos (* 1/2 K))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(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
(* -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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(* -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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(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
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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))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -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 (cos (* 1/2 K))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -2 J)
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(* -2 J)
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(* -2 J)
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(* -2 J)
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(* -2 J)
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(* -2 J)
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(* -2 J)
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(* -2 J)
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(* -1 U)
(neg.f64 U)
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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 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(* -1/4 (/ (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 K (.f64 K (fma.f64 (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -5/1536 binary64)) 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)) (* (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) (fma.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal 7/23040 binary64) (.f64 (/.f64 (.f64 U U) J) #s(literal -5/3072 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 K K)) (.f64 (/.f64 (.f64 U U) J) #s(literal -5/1536 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))))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(fma.f64 (.f64 K K) (.f64 J #s(literal -1/8 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (.f64 K K) (fma.f64 #s(literal 1/384 binary64) (.f64 J (.f64 K K)) (.f64 J #s(literal -1/8 binary64))) 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 K (.f64 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 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

rewrite326.0ms (2.7%)

Memory

2.4MiB live, 458.1MiB allocated

Rules

7 332×	`lower-*.f32`
7 296×	`lower-*.f64`
4 370×	`lower-fma.f32`
4 360×	`lower-fma.f64`
3 654×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	500
0	115	500
1	400	484
2	2778	468
0	9979	468

Stop Event

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

Counts

26 → 427

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U U)) (.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(neg.f64 (/.f64 (/.f64 (.f64 U U) (.f64 J #s(literal -2 binary64))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (.f64 (/.f64 (.f64 J #s(literal 2 binary64)) U) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U U)) (.f64 J #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U U)) (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (.f64 U U) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))))
(/.f64 (/.f64 (.f64 U U) (.f64 J #s(literal -2 binary64))) (.f64 #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 U U) (.f64 (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 U U) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)))) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U U)) (.f64 J #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (.f64 U U) (.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 J #s(literal -2 binary64)))) (.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
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eval184.0ms (1.5%)

Memory: -36.7MiB live, 321.8MiB allocated
Compiler: Compiled 36 452 to 2 289 computations (93.7% saved)

prune276.0ms (2.3%)

Memory

31.7MiB live, 429.1MiB allocated

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	1 146	12	1 158
Fresh	8	20	28
Picked	3	2	5
Done	0	3	3
Total	1 157	37	1 194

Accuracy

99.9%

Counts

1 194 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.4%	(.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)))))
	27.3%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 J #s(literal 2 binary64)))))) (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)))))
	46.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)))))))
	9.9%	(.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))))))
	78.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
	61.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
	69.4%	(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.f64 J #s(literal -2 binary64)))
	37.0%	(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
	37.0%	(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
	49.5%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
	37.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
	29.6%	(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
	9.9%	(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
	36.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
	56.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	56.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)))
	54.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J #s(approx (/ (* U (* U -1/4)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
	18.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
	30.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) J) (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) J)) (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) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))))
	10.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
✓	55.8%	#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))))
	29.5%	#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 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (.f64 (.f64 K K) (.f64 K K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))))
✓	29.5%	#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 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))))
	29.3%	#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 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
	29.3%	#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 J #s(literal -2 binary64))))
	33.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
	47.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
✓	37.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	31.0%	#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) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
	32.9%	#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) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
	26.4%	#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) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
	29.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
	29.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
	29.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K K)) (*.f64 J #s(literal -2 binary64)))))
✓	31.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (*.f64 J #s(literal -2 binary64))))
✓	47.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	32.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))

Compiler

Compiled 2 613 to 879 computations (66.4% saved)

regimes158.0ms (1.3%)

Memory

-5.5MiB live, 196.9MiB allocated

Counts

76 → 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)) (* J -2)) (*.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 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K 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 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2)) (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)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (.f64 (.f64 K K) (.f64 K K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (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 (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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* 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))))))
#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))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J #s(approx (/ (* U (* U -1/4)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
#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 #s(approx (cos ( 1/2 K)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.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 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))) U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
(.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 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
#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 (.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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U (.f64 (.f64 J #s(literal -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)))) (.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)))))))
(.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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 J #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) J) (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) J)) (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) (fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J (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))

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

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

Calls

6 calls:

42.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
24.0ms	K
23.0ms	(/.f64 K #s(literal 2 binary64))
23.0ms	J
21.0ms	U

Results

Accuracy	Segments	Branch
87.4%	2	`J`
78.8%	1	`K`
90.9%	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)))))`
78.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
78.8%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes51.0ms (0.4%)

Memory

3.4MiB live, 39.9MiB allocated

Counts

73 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (*.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 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K 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 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2)) (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)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (.f64 (.f64 K K) (.f64 K K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (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 (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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* 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))))))
#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))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J #s(approx (/ (* U (* U -1/4)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
#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 #s(approx (cos ( 1/2 K)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.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 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))) U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
(.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 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
#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 (.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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U (.f64 (.f64 J #s(literal -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)))) (.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)))))))
(.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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 J (.f64 K K)) (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 U (/.f64 U (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U (/.f64 U (.f64 J #s(literal 2 binary64)))) (.f64 (.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))))))))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 J #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))

Outputs

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

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

Calls

1 calls:

47.0ms

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

Results

Accuracy	Segments	Branch
99.7%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes51.0ms (0.4%)

Memory

-31.5MiB live, 55.1MiB allocated

Counts

66 → 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)) (* J -2)) (*.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 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K 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 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2)) (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)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (.f64 (.f64 K K) (.f64 K K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (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 (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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* 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))))))
#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))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J #s(approx (/ (* U (* U -1/4)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
#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 #s(approx (cos ( 1/2 K)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.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 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))) U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
(.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 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
#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 (.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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U (.f64 (.f64 J #s(literal -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)))) (.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)))))))
(.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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (.f64 (.f64 U U) (fma.f64 J (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))))

Outputs

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

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

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

Calls

2 calls:

18.0ms

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

17.0ms

Results

Accuracy	Segments	Branch
88.7%	3	`U`
92.3%	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 31 to 20 computations (35.5% saved)

regimes19.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

61 → 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)) (* J -2)) (*.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 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K 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 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2)) (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)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (.f64 (.f64 K K) (.f64 K K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (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 (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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* 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))))))
#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))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J #s(approx (/ (* U (* U -1/4)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
#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 #s(approx (cos ( 1/2 K)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.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 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))) U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
(.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 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -1 binary64))))
#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 (.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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (/.f64 (.f64 U (.f64 U #s(literal -1/4 binary64))) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 U #s(literal -1/4 binary64)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U (.f64 (.f64 J #s(literal -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)))) (.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)))))))
(.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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (/.f64 (fma.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))

Outputs

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

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

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

Calls

1 calls:

15.0ms

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

Results

Accuracy	Segments	Branch
90.8%	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)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes37.0ms (0.3%)

Memory

-17.8MiB live, 19.9MiB 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)) (* J -2)) (*.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 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K 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 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2)) (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)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (.f64 (.f64 K K) (.f64 K K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (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 (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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* 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))))))
#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))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J #s(approx (/ (* U (* U -1/4)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
#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 #s(approx (cos ( 1/2 K)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.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 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))) U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
(.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 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (/.f64 (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))

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

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

Calls

1 calls:

34.0ms

(*.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
90.7%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes46.0ms (0.4%)

Memory

11.7MiB live, 49.5MiB allocated

Counts

47 → 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)) (* J -2)) (*.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 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K 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 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2)) (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)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (.f64 (.f64 K K) (.f64 K K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (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 (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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* 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))))))
#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))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J #s(approx (/ (* U (* U -1/4)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
#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 #s(approx (cos ( 1/2 K)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.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 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 U #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 J #s(approx (cos (/ K 2)) #s(literal 1 binary64))) U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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)))
(.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 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (*.f64 J J)) #s(literal 1/4 binary64)) #s(literal -1 binary64))))))

Outputs

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

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

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

Calls

3 calls:

17.0ms

13.0ms

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
81.2%	2	`U`
76.8%	2	`J`
88.6%	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 35 to 23 computations (34.3% saved)

regimes15.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

44 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (*.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 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K 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 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (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)))) #s(approx (+ (* (* (cos (* 1/2 K)) -2) J) (/ (* U (* U -1/4)) (* J (cos (* 1/2 K))))) (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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(approx (+ (* (* K K) -1/46080) 1/384) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 #s(literal 0 binary64) (.f64 U (.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #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 (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)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2)) (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)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 J (.f64 (.f64 K K) #s(literal 1/23040 binary64)) (.f64 J #s(literal -1/192 binary64))) (.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) (.f64 (.f64 K K) (.f64 K K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 J #s(literal -2 binary64) (.f64 J (.f64 #s(literal 1/4 binary64) (.f64 K K))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #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)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (.f64 K (fma.f64 J #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) J))) (fma.f64 J #s(literal -2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #s(literal 1 binary64))))) #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 K (.f64 K (fma.f64 (.f64 J (.f64 K K)) #s(literal -1/192 binary64) (.f64 J #s(literal 1/4 binary64)))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 J #s(literal -1/192 binary64) (.f64 (.f64 J (.f64 K K)) #s(literal 1/23040 binary64)))) (.f64 J #s(literal 1/4 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (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 (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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( 1/2 (cos K)) 1/2)) #s(literal 1 binary64))) (.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* 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))))))
#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))) #s(approx (/ (* -1/4 (* U U)) (* J (cos (* 1/2 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)))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J #s(approx (/ (* U (* U -1/4)) (* J (cos (* 1/2 K)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
(.f64 #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) #s(approx (cos (/ K 2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 K K) (.f64 #s(literal 1/32 binary64) (/.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))))))))
#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 #s(approx (cos ( 1/2 K)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (*.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))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (.f64 U (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 (/.f64 U J) J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))) (.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))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (/.f64 (.f64 U U) (.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)))))))

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
90.0%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes45.0ms (0.4%)

Memory

-27.0MiB live, 12.1MiB allocated

Counts

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

Outputs

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

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

(*.f64 #s(approx (* (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J)) (*.f64 J #s(literal -2 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
88.2%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes13.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (.f64 (/.f64 U (.f64 J J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos ( 1/2 K)) #s(literal 1 binary64))))) (/.f64 U (.f64 J (.f64 #s(literal 2 binary64) #s(approx (cos (* 1/2 K)) #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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 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
89.0%	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)

regimes58.0ms (0.5%)

Memory

-1.6MiB live, 76.0MiB allocated

Counts

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

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

Calls

5 calls:

14.0ms	U
11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	(/.f64 K #s(literal 2 binary64))
10.0ms	K
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
69.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
69.5%	2	`K`
69.5%	2	`(/.f64 K #s(literal 2 binary64))`
71.7%	2	`U`
81.5%	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 48 to 34 computations (29.2% saved)

regimes46.0ms (0.4%)

Memory

3.3MiB live, 41.3MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

29.0ms

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)))))

Results

Accuracy	Segments	Branch
59.4%	2	`U`
58.3%	2	`J`
73.0%	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 35 to 23 computations (34.3% saved)

regimes57.0ms (0.5%)

Memory

8.5MiB live, 44.1MiB allocated

Counts

22 → 4

Calls

Call 1

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

Calls

4 calls:

36.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	K
7.0ms	(/.f64 K #s(literal 2 binary64))
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
45.9%	2	`K`
54.2%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
45.9%	2	`(/.f64 K #s(literal 2 binary64))`
65.9%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes27.0ms (0.2%)

Memory

-17.2MiB live, 26.3MiB allocated

Counts

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

Calls

3 calls:

16.0ms

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)))))

Results

Accuracy	Segments	Branch
49.0%	2	`J`
51.5%	2	`U`
57.9%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (*.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 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (fma.f64 #s(literal 1/4 binary64) (.f64 J (.f64 K 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 #s(approx (cos ( 1/2 K)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #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 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) 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)) (* J -2)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 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
57.9%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes8.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

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

Outputs

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

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

Calls

3 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)))))

3.0ms

2.0ms

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

Results

Accuracy	Segments	Branch
51.5%	2	`U`
37.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
49.6%	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 38 to 26 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
37.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
37.4%	1	`K`
37.4%	1	`(/.f64 K #s(literal 2 binary64))`
37.4%	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)))))`
37.4%	1	`J`
37.4%	1	`U`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch9.0ms (0.1%)

Memory

-35.1MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-5.069474663472922e-118	-1.3900215726611775e-120
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-8.604762923274507e-244	2.346724113422399e-254
0.0ms	-3.087402044666752e-134	-1.0277876028390003e-148
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	2.845260815202052e+303	+inf
0.0ms	-8.604762923274507e-244	2.346724113422399e-254
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-8.604762923274507e-244	2.346724113422399e-254
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.604762923274507e-244	2.346724113422399e-254
0.0ms	-1.0277876028390003e-148	-2.1016004801275946e-154
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.604762923274507e-244	2.346724113422399e-254
0.0ms	-1.0277876028390003e-148	-2.1016004801275946e-154
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.604762923274507e-244	2.346724113422399e-254
0.0ms	-1.0277876028390003e-148	-2.1016004801275946e-154
0.0ms	-inf	-5.220188945104742e+298

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch21.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	7939794594.852436	23368886368671.434

Samples

14.0ms

128×

valid

Compiler

Compiled 158 to 111 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (37.3% of total)

ival-cos: 3.0ms (28% of total)

ival-div: 2.0ms (18.7% of total)

ival-add: 1.0ms (9.3% of total)

ival-sqrt: 1.0ms (9.3% of total)

ival-pow2: 1.0ms (9.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify30.0ms (0.3%)

Memory

-12.8MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Rules

92×	`*-commutative_binary64`
20×	`+-commutative_binary64`
16×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	183	2638
1	242	2638
2	268	2638
3	284	2638
4	294	2638
5	296	2638

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 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 (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))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U (.f64 (.f64 J #s(literal 2 binary64)) #s(approx (+ 1/2 ( 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (/.f64 U (.f64 J #s(literal 2 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) (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))))))
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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 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))))) (if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -7687697232696013/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J))) (.f64 #s(approx (* (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) 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 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (.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 -7687697232696013/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952 binary64)) (.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J)) (.f64 J #s(literal -2 binary64))) (.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (.f64 #s(literal -2 binary64) J))) (if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -7687697232696013/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (* (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal 1/2 binary64)) J))) (.f64 #s(approx (* (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) 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 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (.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 -7687697232696013/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 #s(literal -1/2 binary64) U) J)) (.f64 J #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -5758609657015291/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (.f64 #s(literal -2 binary64) J))) (if (<=.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 2 binary64))) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -7687697232696013/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (.f64 #s(approx ( (cos (* 1/2 K)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 U #s(literal -1/2 binary64)) J)) (.f64 #s(literal -2 binary64) J)))))
(if (<=.f64 U #s(literal 62000000000 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (.f64 J #s(literal -2 binary64)))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)))
(if (<=.f64 U #s(literal 62000000000 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* J -2)) (.f64 #s(literal -2 binary64) J))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness2.0s (16.9%)

Memory

-41.4MiB live, 1 698.9MiB allocated

Rules

19 354×	`lower-fma.f64`
19 354×	`lower-fma.f32`
14 222×	`lower-fma.f64`
14 222×	`lower-fma.f32`
12 922×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	500
0	115	500
1	400	484
2	2778	468
0	9979	468
0	360	3717
1	1153	3609
2	4514	3477
0	8499	3319
0	61	400
0	101	380
1	338	352
2	2393	352
0	8458	352
0	72	441
0	110	439
1	373	395
2	2792	379
0	8898	379
0	743	16808
1	2424	16321
0	8318	15382
0	816	16122
1	2648	15635
0	8772	14616
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66

Stop Event

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

Compiler

Compiled 3 372 to 1 371 computations (59.3% saved)

preprocess162.0ms (1.3%)

Memory

21.8MiB live, 360.5MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 4 052 to 592 computations (85.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze288.0ms (2.4%)

sample1.6s (13.3%)

explain481.0ms (4%)

preprocess102.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify47.0ms (0.4%)

localize123.0ms (1%)

series41.0ms (0.3%)

simplify405.0ms (3.4%)

rewrite311.0ms (2.6%)

eval75.0ms (0.6%)

prune134.0ms (1.1%)

simplify200.0ms (1.7%)

localize186.0ms (1.5%)

series121.0ms (1%)

simplify423.0ms (3.5%)

rewrite378.0ms (3.1%)

eval233.0ms (1.9%)

prune282.0ms (2.3%)

simplify206.0ms (1.7%)

localize322.0ms (2.7%)

series79.0ms (0.7%)

simplify637.0ms (5.3%)

rewrite303.0ms (2.5%)

eval186.0ms (1.5%)

prune295.0ms (2.4%)

simplify244.0ms (2%)

localize212.0ms (1.8%)

series58.0ms (0.5%)

simplify388.0ms (3.2%)

rewrite326.0ms (2.7%)

eval184.0ms (1.5%)

prune276.0ms (2.3%)

regimes158.0ms (1.3%)

regimes51.0ms (0.4%)

regimes51.0ms (0.4%)

regimes19.0ms (0.2%)

regimes37.0ms (0.3%)

regimes46.0ms (0.4%)

regimes15.0ms (0.1%)

regimes45.0ms (0.4%)

regimes13.0ms (0.1%)

regimes58.0ms (0.5%)

regimes46.0ms (0.4%)

regimes57.0ms (0.5%)

regimes27.0ms (0.2%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch21.0ms (0.2%)

simplify30.0ms (0.3%)

soundness2.0s (16.9%)

preprocess162.0ms (1.3%)

end0.0ms (0%)

Profiling