Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze277.0ms (3.1%)

Memory

12.7MiB live, 460.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.9s (20.5%)

Memory

21.8MiB live, 1 666.5MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 370.0ms (35.9% of total)

ival-cos: 243.0ms (23.6% of total)

ival-div: 158.0ms (15.3% of total)

ival-pow2: 114.0ms (11% of total)

ival-add: 65.0ms (6.3% of total)

ival-sqrt: 56.0ms (5.4% of total)

exact: 14.0ms (1.4% of total)

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

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

Bogosity

explain396.0ms (4.4%)

Memory

3.4MiB live, 283.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
37	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)))))`
35	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
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	136	(4.7136628788959427e-125 1.6625087412705296e+110 6.65437899161715e+46)	-	`(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	136	0
`*.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**	37	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	35	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	overflow	37
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	37
↳	`(+.f64 #s(literal 1 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	72
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	72

Confusion

	Predicted +	Predicted -
+	72	0
-	100	84

Precision

0.4186046511627907

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	100	0	84

Precision?

0.4186046511627907

Recall?

1.0

Freqs

test

number	freq
0	84
1	136
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

133.0ms

512×

valid

Compiler

Compiled 358 to 72 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-add: 54.0ms (48.9% of total)

ival-cos: 23.0ms (20.8% of total)

ival-mult: 15.0ms (13.6% of total)

ival-div: 7.0ms (6.3% of total)

ival-pow2: 5.0ms (4.5% of total)

ival-sqrt: 4.0ms (3.6% of total)

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

exact: 1.0ms (0.9% of total)

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

preprocess174.0ms (1.9%)

Memory

-11.9MiB live, 63.0MiB allocated

Algorithm

1×	egg-herbie

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

Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.6MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(.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)))))

Status

Accuracy

Program

▶

73.4%

(*.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 24 to 17 computations (29.2% saved)

simplify59.0ms (0.6%)

Memory

8.5MiB live, 44.3MiB 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)))))

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

localize126.0ms (1.4%)

Memory

8.9MiB live, 81.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.189785009768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	8.164845959178178	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
accuracy	8.631604153384117	(.f64 (.f64 (.f64 #s(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)))))

Samples

83.0ms

256×

valid

Compiler

Compiled 222 to 36 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 55.0ms (76.9% of total)

ival-cos: 6.0ms (8.4% of total)

ival-div: 5.0ms (7% of total)

ival-sqrt: 2.0ms (2.8% of total)

ival-pow2: 2.0ms (2.8% of total)

ival-add: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series86.0ms (1%)

Memory

-14.0MiB live, 40.5MiB allocated

Counts

6 → 156

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
50.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
4.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
4.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify217.0ms (2.4%)

Memory

31.8MiB live, 258.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	3717
1	1153	3609
2	4536	3477
0	8520	3319

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 155

Calls

Call 1

Inputs
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 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))))
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)))
(* -1/2 (/ 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)))))))
(* 1/4 (/ (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))))
(* -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)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (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)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 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))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 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))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
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)))))))
(* 1/4 (/ (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))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
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)))))))
(* 1/4 (/ (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
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) U) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (/.f64 U (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) 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 (fma.f64 (fma.f64 (/.f64 (.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U)))
#s(literal 1 binary64)
(fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 (.f64 U (/.f64 U (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 U U) #s(literal 1 binary64))
(fma.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) U) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 U (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(neg.f64 U)
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))) U)
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)))) U)
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
(.f64 (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U)
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (neg.f64 (pow.f64 U #s(literal 4 binary64)))) (pow.f64 J #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U)
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
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(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
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(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
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(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
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(.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (/.f64 (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))) J)
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(*.f64 #s(literal -2 binary64) J)
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(*.f64 #s(literal -2 binary64) J)
#s(literal 1 binary64)
(fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
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(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(*.f64 #s(literal -2 binary64) J)
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#s(literal 1 binary64)
(fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64))
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(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))

rewrite160.0ms (1.8%)

Memory

-8.0MiB live, 263.3MiB allocated

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
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eval155.0ms (1.7%)

Memory: 12.7MiB live, 176.2MiB allocated
Compiler: Compiled 17 269 to 1 828 computations (89.4% saved)

prune19.0ms (0.2%)

Memory

-17.2MiB live, 56.3MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	470	9	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	471	9	480

Accuracy

99.9%

Counts

480 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.7%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	73.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	57.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64)))))
▶	46.2%	(.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 J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))))
	65.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	12.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	42.6%	#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 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
▶	55.7%	#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 #s(literal 1/2 binary64) K))))
▶	37.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 640 to 458 computations (28.4% saved)

simplify138.0ms (1.5%)

Memory

21.3MiB live, 99.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64)))))
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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))))
cost-diff	0	(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 #s(literal 1/2 binary64) K)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
cost-diff	0	(.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	521
0	94	521
1	153	521
2	326	521
3	737	521
4	1511	521
5	2301	521
6	3108	521
7	3989	521
8	4229	521
9	4240	521
10	4241	521
11	4355	521
12	4386	521
13	4386	521
14	4406	521
15	4406	521
16	4406	521
0	4406	521

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
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))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(.f64 (.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 J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 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) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))))
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))
#s(literal 1 binary64)
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))
(.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
U
(fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))
(*.f64 K K)
#s(literal 1/16 binary64)
#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) (pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal 4 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 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64))
(sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 4 binary64)

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

localize175.0ms (1.9%)

Memory

2.2MiB live, 358.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.3035126953688403	(pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64))
accuracy	6.548201216588627	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64)))))
accuracy	6.76590701696746	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64))))
accuracy	13.37907220574217	(sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
accuracy	4.020960662666183	(.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
accuracy	6.548201216588627	(.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 J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))))
accuracy	6.76590701696746	(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))))
accuracy	9.98337072958889	#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))
accuracy	0	(*.f64 #s(literal -2 binary64) J)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.05859375	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy	21.884813549945736	#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 #s(literal 1/2 binary64) K))))
accuracy	0	(neg.f64 U)
accuracy	24.991801084450564	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.05859375	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
accuracy	0.150722509768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	6.548201216588627	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	6.76590701696746	(sqrt.f64 (+.f64 #s(literal 1 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

77.0ms	194×	0	valid
32.0ms	62×	0	invalid

Compiler

Compiled 974 to 108 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 24.0ms (30% of total)

ival-cos: 23.0ms (28.8% of total)

ival-add: 12.0ms (15% of total)

ival-div: 8.0ms (10% of total)

ival-sqrt: 5.0ms (6.3% of total)

ival-pow: 3.0ms (3.8% of total)

ival-pow2: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series166.0ms (1.8%)

Memory

-25.1MiB live, 233.2MiB allocated

Counts

22 → 624

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	U	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ U J) (/ U J)) (+ (* (* K K) 1/16) 1/4)) (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))) (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))
26.0ms	K	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ U J) (/ U J)) (+ (* (* K K) 1/16) 1/4)) (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))) (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))
16.0ms	K	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ U J) (/ U J)) (+ (* (* K K) 1/16) 1/4)) (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))) (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))
11.0ms	U	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ U J) (/ U J)) (+ (* (* K K) 1/16) 1/4)) (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))) (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))
11.0ms	J	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (/ U J) (/ U J)) (+ (* (* K K) 1/16) 1/4)) (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) (sqrt (+ 1 (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))) (pow (sqrt (/ (/ U (* 2 J)) (cos (* K -1/2)))) 4))

simplify219.0ms (2.4%)

Memory

-4.9MiB live, 348.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	929	17176
1	3285	16517
0	8520	15809

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 620

Calls

Call 1

Inputs
(* -2 (* J (cos (* -1/2 K))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1 (/ (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/4 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 8))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1 (/ (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/8 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 12))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/4 (/ (* (cos (* 1/2 K)) (pow (sqrt 1/2) 8)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
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U
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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U
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(* -2 J)
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J
(+ J (* -1/8 (* J (pow K 2))))
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1
(+ 1 (* -1/8 (pow K 2)))
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(* -2 J)
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1
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* -2 J)
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1
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(* -2 (* J (sqrt (+ 1 (/ (* (pow U 2) (pow (sqrt 1/2) 4)) (pow J 2))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(* 1/4 (/ (pow U 2) (pow J 2)))
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(+ (* 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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(* 1/4 (/ (pow U 2) (pow J 2)))
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(+ (* 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))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(* 1/4 (/ (pow U 2) (pow J 2)))
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(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(* (sqrt (/ U J)) (sqrt 1/2))
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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))))
(* 1/2 (/ 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)
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (sqrt 1/2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (sqrt 1/2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (sqrt 1/2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (sqrt 1/2))
(/ (* U (pow (sqrt 1/2) 2)) (* J (cos (* -1/2 K))))
(/ (+ (* 1/2 (/ (* (pow J 2) (cos (* -1/2 K))) (* U (pow (sqrt 1/2) 2)))) (/ (* U (pow (sqrt 1/2) 2)) (cos (* -1/2 K)))) J)
(/ (+ (* (pow J 2) (+ (* -1/8 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (* (pow U 3) (pow (sqrt 1/2) 6)))) (* 1/2 (/ (cos (* -1/2 K)) (* U (pow (sqrt 1/2) 2)))))) (/ (* U (pow (sqrt 1/2) 2)) (cos (* -1/2 K)))) J)
(/ (+ (* (pow J 2) (+ (* 1/2 (/ (cos (* -1/2 K)) (* U (pow (sqrt 1/2) 2)))) (* (pow J 2) (+ (* -1/8 (/ (pow (cos (* -1/2 K)) 3) (* (pow U 3) (pow (sqrt 1/2) 6)))) (* 1/16 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (* (pow U 5) (pow (sqrt 1/2) 10)))))))) (/ (* U (pow (sqrt 1/2) 2)) (cos (* -1/2 K)))) J)
(/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* -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))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/4 (/ (* (pow U 4) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 8))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1 (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 4))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/8 (/ (* (pow U 6) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 12))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/4 (/ (* (pow U 4) (* (cos (* 1/2 K)) (pow (sqrt 1/2) 8))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
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)))))))
(* 1/4 (/ (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
(+ 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)))))))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (sqrt 1/2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (sqrt 1/2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (sqrt 1/2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (sqrt 1/2))
1
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/8 (/ (* (pow U 4) (pow (sqrt 1/2) 8)) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow U 4) (pow (sqrt 1/2) 8)) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/16 (/ (* (pow U 6) (pow (sqrt 1/2) 12)) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/2 (/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt 1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(* -2 (* J (cos (* -1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 2 (cos (* 1/2 K))) (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 4))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* -1 (* J (+ (* -1/4 (/ (* (pow U 4) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 8))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 2 (cos (* 1/2 K))) (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 4))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* -1 (* J (+ (* -1/4 (/ (* (pow U 4) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 8))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/8 (/ (* (pow U 6) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 12))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* 2 (cos (* 1/2 K))) (/ (* (pow U 2) (* (cos (* 1/2 K)) (pow (sqrt -1/2) 4))) (* (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)))))))
(* 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
(+ 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)))))))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(/ (* (pow U 2) (+ 1/4 (* 1/16 (pow K 2)))) (pow J 2))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ U (* J (cos (* -1/2 K))))) (* (sqrt -1) (sqrt -1/2)))
1
(+ 1 (* 1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/8 (/ (* (pow U 4) (pow (sqrt -1/2) 8)) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow U 4) (pow (sqrt -1/2) 8)) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/16 (/ (* (pow U 6) (pow (sqrt -1/2) 12)) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/2 (/ (* (pow U 2) (pow (sqrt -1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(/ (* (pow U 2) (pow (sqrt -1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt -1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt -1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* (pow U 2) (pow (sqrt -1/2) 4)) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))

Outputs
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(fma.f64 (/.f64 (.f64 (/.f64 (.f64 U U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))))) (.f64 U U))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U)) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 12 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 U U)) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1/1024 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1/1024 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) J) (/.f64 (*.f64 U U) J))
(.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) J) (/.f64 (*.f64 U U) J))
(.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) J) (/.f64 (*.f64 U U) J))
(.f64 (/.f64 (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) J) (/.f64 (*.f64 U U) J))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 J J)) (/.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (.f64 U U)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 J J)) (/.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (.f64 U U)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 12 binary64)) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 J J)) (/.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (.f64 U U)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))

rewrite176.0ms (1.9%)

Memory

-5.7MiB live, 336.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	333
0	94	322
1	256	322
2	1517	322
0	8759	322

Stop Event

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

Counts

22 → 788

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 K #s(literal -1/2 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)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal -2 binary64) 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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #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 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 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))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))))
(.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64))

Outputs
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eval360.0ms (4%)

Memory: -3.8MiB live, 501.1MiB allocated
Compiler: Compiled 67 611 to 4 285 computations (93.7% saved)

prune69.0ms (0.8%)

Memory

1.2MiB live, 196.3MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 550	14	1 564
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	1 555	18	1 573

Accuracy

99.9%

Counts

1 573 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
	55.7%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	46.2%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))))
	45.5%	(.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 (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)) (*.f64 (/.f64 U J) U)) J)))))
▶	65.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	34.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))))
	12.3%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))))
	17.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
	11.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -1 binary64)) (neg.f64 U)))
▶	55.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))))
	42.6%	#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 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
✓	55.7%	#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 #s(literal 1/2 binary64) K))))
	27.0%	#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 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
	27.1%	#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) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
✓	37.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	27.0%	#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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
▶	29.7%	#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))) (*.f64 #s(literal -2 binary64) J)))

Compiler

Compiled 1 370 to 957 computations (30.1% saved)

simplify146.0ms (1.6%)

Memory

8.2MiB live, 162.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))
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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
cost-diff	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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
cost-diff	320	(fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J))
cost-diff	320	(fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (*.f64 #s(literal 1/4 binary64) J))
cost-diff	320	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	#s(approx (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)))
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
cost-diff	0	(.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	536
0	103	528
1	175	519
2	348	519
3	848	515
4	2060	512
5	3703	512
6	4149	512
7	5106	512
8	6359	512
9	6741	512
10	6821	512
11	7859	512
12	7885	512
13	7993	512
0	8069	500

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (2.6%)

Memory

28.0MiB live, 424.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.109375	(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))
accuracy	0.125	(.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))
accuracy	28.29921969352194	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))))
accuracy	0.125	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	8.185094087836543	(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
accuracy	8.463046574304787	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
accuracy	8.631604153384117	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
accuracy	0.5152572554145289	(fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J))
accuracy	8.299335620426412	(.f64 (.f64 K K) J)
accuracy	28.29921969352194	#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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
accuracy	33.43822643018595	#s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J)))
accuracy	0	(*.f64 #s(literal -2 binary64) J)
accuracy	28.29921969352194	#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))) (*.f64 #s(literal -2 binary64) J)))
accuracy	29.965357883375127	#s(approx (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J))
accuracy	0.125	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
accuracy	0.19826127930532605	(pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
accuracy	8.164845959178178	(sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy	8.631604153384117	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))

Samples

196.0ms

256×

valid

Compiler

Compiled 969 to 128 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 90.0ms (53.6% of total)

ival-cos: 24.0ms (14.3% of total)

ival-add: 15.0ms (8.9% of total)

ival-pow: 13.0ms (7.7% of total)

ival-div: 10.0ms (6% of total)

const: 7.0ms (4.2% of total)

ival-sqrt: 5.0ms (3% of total)

ival-pow2: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series99.0ms (1.1%)

Memory

3.1MiB live, 245.0MiB allocated

Counts

24 → 612

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) (*.f64 #s(literal -2 binary64) J))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J)))) #<representation binary64>) () ())
#s(alt #<batchref> (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 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 K K) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	J	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ 1 (pow (cos (* -1/2 K)) -1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1)) (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) (* (* -2 J) (cos (* 1/2 K))) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (pow (cos (* -1/2 K)) -1))
7.0ms	J	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ 1 (pow (cos (* -1/2 K)) -1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1)) (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) (* (* -2 J) (cos (* 1/2 K))) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (pow (cos (* -1/2 K)) -1))
7.0ms	J	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ 1 (pow (cos (* -1/2 K)) -1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1)) (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) (* (* -2 J) (cos (* 1/2 K))) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (pow (cos (* -1/2 K)) -1))
7.0ms	U	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ 1 (pow (cos (* -1/2 K)) -1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1)) (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) (* (* -2 J) (cos (* 1/2 K))) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (pow (cos (* -1/2 K)) -1))
6.0ms	K	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ 1 (pow (cos (* -1/2 K)) -1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1)) (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) (* (* -2 J) (cos (* 1/2 K))) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (pow (cos (* -1/2 K)) -1))

simplify231.0ms (2.5%)

Memory

-2.7MiB live, 318.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	14009
1	2133	13596
2	7723	13588
0	8034	12833

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 606

Calls

Call 1

Inputs
(* -2 (* J (cos (* -1/2 K))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
1
(+ 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
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
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U
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J
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1
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(* -2 J)
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1
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1
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(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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(* -2 J)
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(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))
(* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))
(* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))
(* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
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(* -1 U)
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
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(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
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(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 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)
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
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(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))
(* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))
(* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))
(* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))
(* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* -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))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
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)))))))
(* 1/4 (/ (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))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow 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)))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* -2 (* J (cos (* -1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -1 (* J (+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))))
(* -1 (* J (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* -1 (* J (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* -1 (* J (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* -1 (* J (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* -1 (* J (+ 1/192 (* -1/23040 (pow K 2)))))
(* -1 (* J (+ 1/192 (* -1/23040 (pow K 2)))))
(* -1 (* J (+ 1/192 (* -1/23040 (pow K 2)))))
(* -1 (* J (+ 1/192 (* -1/23040 (pow K 2)))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
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)))))))
(* 1/4 (/ (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))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow 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)))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))

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

rewrite154.0ms (1.7%)

Memory

-17.3MiB live, 255.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	417
0	103	407
1	311	400
2	1900	397
0	8137	387

Stop Event

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

Counts

24 → 385

Calls

Call 1

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

Outputs
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#<batchref>
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eval205.0ms (2.3%)

Memory: 36.0MiB live, 429.1MiB allocated
Compiler: Compiled 53 770 to 2 470 computations (95.4% saved)

prune119.0ms (1.3%)

Memory

-25.7MiB live, 244.2MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 023	19	1 042
Fresh	6	5	11
Picked	4	1	5
Done	0	2	2
Total	1 033	27	1 060

Accuracy

100.0%

Counts

1 060 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.0%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
	46.2%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))))
▶	21.4%	(.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) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
	21.4%	(.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) J) (/ U J)) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
	65.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	35.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	65.5%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
▶	10.1%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	40.0%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
	12.3%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))))
▶	17.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
	55.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
	55.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) J))))
	11.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -1 binary64)) (neg.f64 U)))
	41.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
	41.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (* -1/2 K)) -1) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64))))))
✓	55.7%	#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 #s(literal 1/2 binary64) K))))
	27.1%	#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 (/ 1 (pow (cos (* -1/2 K)) -1)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
	55.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 J (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
✓	37.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	27.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
	27.0%	#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))) (fma.f64 (fma.f64 #s(approx (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
▶	27.0%	#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))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
✓	29.7%	#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))) (*.f64 #s(literal -2 binary64) J)))
	27.0%	#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))) #s(approx (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) (.f64 K K) #s(literal -2 binary64)) J))))

Compiler

Compiled 2 209 to 1 548 computations (29.9% saved)

simplify153.0ms (1.7%)

Memory

4.0MiB live, 226.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)))
cost-diff	0	(fma.f64 (.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 -2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	1152	(.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
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)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
cost-diff	0	#s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
cost-diff	320	(fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J))
cost-diff	320	(fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))
cost-diff	0	(neg.f64 U)
cost-diff	0	(*.f64 (neg.f64 U) U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
cost-diff	1024	(/.f64 (*.f64 (neg.f64 U) U) U)
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
cost-diff	0	(.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	611
0	132	607
1	234	600
2	507	598
3	1274	587
4	3712	587
0	8264	574

Stop Event

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

Calls

Call 1

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

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

localize276.0ms (3%)

Memory

1.0MiB live, 345.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25619125976844204	(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
accuracy	4.496509014834831	(.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
accuracy	15.431010639193763	(/.f64 (.f64 J J) (.f64 U U))
accuracy	56.21738389974947	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	8.463046574304787	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))
accuracy	8.631604153384117	(.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) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
accuracy	9.086575691655918	(/.f64 (*.f64 J J) U)
accuracy	33.182130520531246	#s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
accuracy	0.3235741986042558	(fma.f64 (*.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))
accuracy	5.56711193803055	(.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64)))
accuracy	28.29921969352194	#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))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
accuracy	33.43822643018595	#s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J)))
accuracy	0	(*.f64 (neg.f64 U) U)
accuracy	0	(neg.f64 U)
accuracy	32.79887832701454	(/.f64 (*.f64 (neg.f64 U) U) U)
accuracy	40.27030924342328	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
accuracy	0.19435502930532605	(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64))
accuracy	0.20590078177842044	(fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
accuracy	8.164845959178178	(sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
accuracy	8.631604153384117	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))

Samples

217.0ms

256×

valid

Compiler

Compiled 1 098 to 172 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult: 93.0ms (49.6% of total)

ival-cos: 30.0ms (16% of total)

ival-sqrt: 18.0ms (9.6% of total)

ival-div: 15.0ms (8% of total)

ival-add: 11.0ms (5.9% of total)

const: 7.0ms (3.7% of total)

ival-pow: 6.0ms (3.2% of total)

ival-pow2: 5.0ms (2.7% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series124.0ms (1.4%)

Memory

31.3MiB live, 222.2MiB allocated

Counts

30 → 768

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 U) U) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 U) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #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))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))) #<representation binary64>) () ())
#s(alt #<batchref> (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))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 J J) U) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 U) U) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 U) U) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 U) U) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 U) U) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (*.f64 (neg.f64 U) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (*.f64 (neg.f64 U) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (*.f64 (neg.f64 U) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (*.f64 (neg.f64 U) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (neg.f64 U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (neg.f64 U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (neg.f64 U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 U) (#s(alt #<batchref> (patch (neg.f64 U) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (/.f64 (*.f64 J J) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (/.f64 (*.f64 J J) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (/.f64 (*.f64 J J) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (/.f64 (*.f64 J J) U) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf J) (#s(alt #<batchref> (patch (/.f64 (.f64 J J) (.f64 U U)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	U	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (+ (* (* (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) K) K) (* -2 J)) (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1)) (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1) (pow (* (cos (* -1/2 K)) (/ J U)) -2) (* J (+ (* (* K K) 1/23040) -1/192)) (+ (* (* K K) 1/23040) -1/192) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2))
14.0ms	J	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (+ (* (* (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) K) K) (* -2 J)) (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1)) (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1) (pow (* (cos (* -1/2 K)) (/ J U)) -2) (* J (+ (* (* K K) 1/23040) -1/192)) (+ (* (* K K) 1/23040) -1/192) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2))
7.0ms	J	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (+ (* (* (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) K) K) (* -2 J)) (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1)) (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1) (pow (* (cos (* -1/2 K)) (/ J U)) -2) (* J (+ (* (* K K) 1/23040) -1/192)) (+ (* (* K K) 1/23040) -1/192) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2))
7.0ms	K	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (+ (* (* (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) K) K) (* -2 J)) (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1)) (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1) (pow (* (cos (* -1/2 K)) (/ J U)) -2) (* J (+ (* (* K K) 1/23040) -1/192)) (+ (* (* K K) 1/23040) -1/192) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2))
7.0ms	J	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (+ (* (* (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) K) K) (* -2 J)) (+ (* (* J (+ (* (* K K) 1/23040) -1/192)) (* K K)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (* 1/2 K))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (sqrt (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1)) (+ (* (pow (* (cos (* -1/2 K)) (/ J U)) -2) 1/4) 1) (pow (* (cos (* -1/2 K)) (/ J U)) -2) (* J (+ (* (* K K) 1/23040) -1/192)) (+ (* (* K K) 1/23040) -1/192) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2))

simplify233.0ms (2.6%)

Memory

4.6MiB live, 436.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	778	16402
1	2435	15970
0	8627	15121

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 759

Calls

Call 1

Inputs
(* -2 (* J (cos (* -1/2 K))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U)
(* -2 (* J (cos (* -1/2 K))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (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
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
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)))))))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -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))
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1
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(* -2 (* J (cos (* -1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 (* J (cos (* -1/2 K))))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* J (cos (* -1/2 K)))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* -1 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* -1 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* -1 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))) 1/4)))))
(* -1 (* J (+ 2 (* (pow K 2) (- (* -1 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))) 1/4)))))
(* -1 (* J (- (* -1 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))) 1/4)))
(* -1 (* J (- (* -1 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))) 1/4)))
(* -1 (* J (- (* -1 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))) 1/4)))
(* -1 (* J (- (* -1 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))) 1/4)))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* -1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* -1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* -1/2 K)) 2) U)) (/ U (pow J 2))))
(* -2 (* J (cos (* -1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (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 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
(* J (- (* 1/23040 (pow K 2)) 1/192))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
(/ (pow J 2) U)
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)))))))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))

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

rewrite164.0ms (1.8%)

Memory

-12.2MiB live, 210.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	498
0	132	494
1	423	471
2	2829	461
0	8455	454

Stop Event

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

Counts

30 → 441

Calls

Call 1

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

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eval229.0ms (2.5%)

Memory: -14.0MiB live, 365.3MiB allocated
Compiler: Compiled 65 982 to 3 224 computations (95.1% saved)

prune59.0ms (0.6%)

Memory

37.3MiB live, 152.2MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 250	6	1 256
Fresh	9	10	19
Picked	4	1	5
Done	0	3	3
Total	1 263	20	1 283

Accuracy

100.0%

Counts

1 283 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.0%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
	65.5%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow (* (cos (* -1/2 K)) (/ J U)) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
	46.2%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))))))
	65.5%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
	26.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
	10.1%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* -1/2 K)) 2) #s(literal 1 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	11.0%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 #s(approx ( (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (/.f64 (/.f64 (*.f64 J J) U) U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	40.0%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
	12.3%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
	11.1%	#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 J J) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) U)))
	19.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))))
	55.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (neg.f64 (.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
	55.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) J))))
	41.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
	41.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
✓	55.7%	#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 #s(literal 1/2 binary64) K))))
	27.1%	#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 (/ 1 (pow (cos (* -1/2 K)) -1)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
	55.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 J (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
✓	37.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
✓	29.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)))

Compiler

Compiled 2 874 to 917 computations (68.1% saved)

regimes122.0ms (1.3%)

Memory

-48.7MiB live, 169.2MiB 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 (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#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) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (pow (cos (* -1/2 K)) -1)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (* -1/2 K)) -1) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) #s(approx (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) (.f64 K K) #s(literal -2 binary64)) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* -1/2 K)) 2) #s(literal 1 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 #s(approx ( (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (/.f64 (/.f64 (*.f64 J J) U) U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
#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))) (fma.f64 (fma.f64 #s(approx (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 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 #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 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 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 (neg.f64 (.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (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))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow (* (cos (* -1/2 K)) (/ J U)) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)) (*.f64 (/.f64 U J) U)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 J J) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #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) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (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 (sqrt.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal 4 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

6 calls:

37.0ms	J
16.0ms	K
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)))))
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	U

Results

Accuracy	Segments	Branch
81.5%	2	`J`
73.4%	1	`K`
80.3%	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)))))`
73.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
73.4%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes17.0ms (0.2%)

Memory

-1.1MiB live, 36.4MiB allocated

Counts

44 → 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 (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#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) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (pow (cos (* -1/2 K)) -1)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (* -1/2 K)) -1) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) #s(approx (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) (.f64 K K) #s(literal -2 binary64)) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* -1/2 K)) 2) #s(literal 1 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 #s(approx ( (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (/.f64 (/.f64 (*.f64 J J) U) U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
#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))) (fma.f64 (fma.f64 #s(approx (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 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 #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 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 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 (neg.f64 (.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (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))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow (* (cos (* -1/2 K)) (/ J U)) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)) (*.f64 (/.f64 U J) U)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 J J) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #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) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))

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

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
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)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

43 → 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 (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#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) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (pow (cos (* -1/2 K)) -1)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (* -1/2 K)) -1) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) #s(approx (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) (.f64 K K) #s(literal -2 binary64)) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* -1/2 K)) 2) #s(literal 1 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 #s(approx ( (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (/.f64 (/.f64 (*.f64 J J) U) U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
#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))) (fma.f64 (fma.f64 #s(approx (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 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 #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 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 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 (neg.f64 (.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (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))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow (* (cos (* -1/2 K)) (/ J U)) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)) (*.f64 (/.f64 U J) U)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 J J) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #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) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))

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

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
99.4%	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 24 to 17 computations (29.2% saved)

regimes47.0ms (0.5%)

Memory

-13.4MiB live, 23.7MiB allocated

Counts

42 → 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 (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#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) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (pow (cos (* -1/2 K)) -1)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (* -1/2 K)) -1) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) #s(approx (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) (.f64 K K) #s(literal -2 binary64)) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* -1/2 K)) 2) #s(literal 1 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 #s(approx ( (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (/.f64 (/.f64 (*.f64 J J) U) U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
#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))) (fma.f64 (fma.f64 #s(approx (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 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 #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 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 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 (neg.f64 (.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (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))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(approx (pow (* (cos (* -1/2 K)) (/ J U)) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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) #s(approx (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2) (/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 K K) #s(literal 1/4 binary64)) (*.f64 (/.f64 U J) U)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) #s(approx (* (+ (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 J J) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.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 -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -1 binary64)) (neg.f64 U)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #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) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))))

Outputs

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

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

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

Calls

1 calls:

44.0ms

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

Results

Accuracy	Segments	Branch
92.3%	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 24 to 17 computations (29.2% saved)

regimes47.0ms (0.5%)

Memory

-9.3MiB live, 27.3MiB allocated

Counts

25 → 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 (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#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) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (pow (cos (* -1/2 K)) -1)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (* -1/2 K)) -1) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) #s(approx (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) (.f64 K K) #s(literal -2 binary64)) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* -1/2 K)) 2) #s(literal 1 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 #s(approx ( (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (/.f64 (/.f64 (*.f64 J J) U) U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
#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))) (fma.f64 (fma.f64 #s(approx (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 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 #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 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 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 (neg.f64 (.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal -1 binary64) (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))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) U))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) 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 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

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

Calls

2 calls:

8.0ms

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
70.1%	2	`J`
82.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes50.0ms (0.6%)

Memory

13.6MiB live, 52.5MiB allocated

Counts

20 → 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 (* (* -2 J) (cos (* 1/2 K))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#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) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (/ 1 (pow (cos (* -1/2 K)) -1)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 #s(literal 1 binary64) #s(approx (pow (cos (* -1/2 K)) -1) (fma.f64 (*.f64 K K) #s(literal 1/8 binary64) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) #s(approx (+ (* (+ (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* K K)) (* 1/4 J)) (* K K)) (* -2 J)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) (.f64 K K) #s(literal -2 binary64)) J))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* -1/2 K)) 2) #s(literal 1 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (fma.f64 #s(approx ( (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) (/.f64 (/.f64 (*.f64 J J) U) U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (/ 1 (pow (cos (* -1/2 K)) -1))) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (* 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
#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))) (fma.f64 (fma.f64 #s(approx (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (.f64 (fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) K) K (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 U (/.f64 U J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #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))

#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 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))

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

Calls

5 calls:

23.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	K
6.0ms	(/.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)))))
6.0ms	U

Results

Accuracy	Segments	Branch
48.8%	2	`K`
59.7%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
48.8%	2	`(/.f64 K #s(literal 2 binary64))`
55.4%	2	`U`
74.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 33 to 34 computations (-3% saved)

regimes12.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

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

Outputs

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

#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))) (*.f64 #s(literal -2 binary64) J)))

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

Calls

2 calls:

5.0ms

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

5.0ms

Results

Accuracy	Segments	Branch
49.9%	2	`J`
62.1%	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 25 to 20 computations (20% saved)

regimes16.0ms (0.2%)

Memory

-26.3MiB live, 10.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

#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))) (*.f64 #s(literal -2 binary64) J)))

Calls

3 calls:

12.0ms

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
51.0%	2	`U`
40.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
51.3%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 29 to 26 computations (10.3% saved)

regimes9.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB 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	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	J

Results

Accuracy	Segments	Branch
37.1%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
37.1%	1	`K`
37.1%	1	`(/.f64 K #s(literal 2 binary64))`
37.1%	1	`J`
37.1%	1	`U`
37.1%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.47887992713194e+294	+inf
0.0ms	-inf	-1.0213736504217099e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.47887992713194e+294	+inf
0.0ms	-inf	-1.0213736504217099e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.47887992713194e+294	+inf
0.0ms	-inf	-1.0213736504217099e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.47887992713194e+294	+inf
0.0ms	-inf	-1.0213736504217099e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.47887992713194e+294	+inf
0.0ms	-inf	-1.0213736504217099e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.2448146409480718e-241	9.532802313800873e-260
0.0ms	-inf	-1.0213736504217099e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.2448146409480718e-241	9.532802313800873e-260
0.0ms	-inf	-1.0213736504217099e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-1.0213736504217099e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify62.0ms (0.7%)

Memory

2.6MiB live, 73.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1238
1	145	1238
2	153	1238
3	159	1238
4	162	1238
5	163	1238

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 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 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 #s(literal 1/2 binary64) K)))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -375375841440235/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 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 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -375375841440235/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 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))) (.f64 #s(literal -2 binary64) J))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #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))) (*.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))

Outputs
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64))) #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 binary64)) (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))) #s(approx (* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224 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 ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -375375841440235/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -375375841440235/1876879207201175057492789423877314215327939898387375884169474847690657890654807926986852549645082845212138504796176365654795672666575560815440365226659976290009931730647725644334157087472286353079994941979475656538582584761171154279816153471809899416518656 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))) (.f64 J #s(literal -2 binary64)))) #s(approx ( (* (* (cos (* K -1/2)) J) -2) (sqrt (+ (pow (* (* (/ J U) 2) (cos (* -1/2 K))) -2) 1))) (.f64 #s(approx (+ ( (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness1.2s (13.6%)

Memory

-10.8MiB live, 914.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	3717
1	1153	3609
2	4536	3477
0	8520	3319
0	65	417
0	103	407
1	311	400
2	1900	397
0	8137	387
0	778	16402
1	2435	15970
0	8627	15121
0	681	14009
1	2133	13596
2	7723	13588
0	8034	12833
0	59	333
0	94	322
1	256	322
2	1517	322
0	8759	322
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66
0	929	17176
1	3285	16517
0	8520	15809

Stop Event

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

Compiler

Compiled 2 789 to 933 computations (66.5% saved)

preprocess181.0ms (2%)

Memory: 11.1MiB live, 252.3MiB allocated
Remove: (abs K)
Compiler: Compiled 4 054 to 982 computations (75.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze277.0ms (3.1%)

sample1.9s (20.5%)

explain396.0ms (4.4%)

preprocess174.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify59.0ms (0.6%)

localize126.0ms (1.4%)

series86.0ms (1%)

simplify217.0ms (2.4%)

rewrite160.0ms (1.8%)

eval155.0ms (1.7%)

prune19.0ms (0.2%)

simplify138.0ms (1.5%)

localize175.0ms (1.9%)

series166.0ms (1.8%)

simplify219.0ms (2.4%)

rewrite176.0ms (1.9%)

eval360.0ms (4%)

prune69.0ms (0.8%)

simplify146.0ms (1.6%)

localize238.0ms (2.6%)

series99.0ms (1.1%)

simplify231.0ms (2.5%)

rewrite154.0ms (1.7%)

eval205.0ms (2.3%)

prune119.0ms (1.3%)

simplify153.0ms (1.7%)

localize276.0ms (3%)

series124.0ms (1.4%)

simplify233.0ms (2.6%)

rewrite164.0ms (1.8%)

eval229.0ms (2.5%)

prune59.0ms (0.6%)

regimes122.0ms (1.3%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes47.0ms (0.5%)

regimes47.0ms (0.5%)

regimes50.0ms (0.6%)

regimes12.0ms (0.1%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify62.0ms (0.7%)

soundness1.2s (13.6%)

preprocess181.0ms (2%)

end0.0ms (0%)

Profiling