Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze447.0ms (5.4%)

Memory

24.2MiB live, 668.1MiB allocated; 190ms collecting garbage

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)

sample2.4s (29.6%)

Memory

-73.8MiB live, 2 075.4MiB allocated; 1.3s collecting garbage

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-pow2: 631.0ms (37.3% of total)

ival-mult: 397.0ms (23.5% of total)

ival-cos: 240.0ms (14.2% of total)

ival-div: 167.0ms (9.9% of total)

ival-add: 147.0ms (8.7% of total)

ival-sqrt: 83.0ms (4.9% of total)

exact: 14.0ms (0.8% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

adjust: 2.0ms (0.1% of total)

Bogosity

explain292.0ms (3.6%)

Memory

13.3MiB live, 393.9MiB allocated; 52ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
40	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))))`
38	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)))))`
1	0	-	-	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #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	139	(34243425526.024914 3.945685441855903e+149 -2.4887476989537356e+286)	-	`(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	-	-	`(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	139	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	40	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	38
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	38
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	78
↳	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`	overflow	1
↳	`(+.f64 #s(literal 1 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	78
↳	`(*.f64 #s(literal 2 binary64) J)`	overflow	1
`*.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**	38	0

Confusion

	Predicted +	Predicted -
+	78	0
-	94	84

Precision

0.45348837209302323

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	0
-	94	0	84

Precision?

0.45348837209302323

Recall?

1.0

Freqs

test

number	freq
0	84
1	127
2	45

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

75.0ms

512×

valid

Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 19.0ms (38% of total)

ival-cos: 12.0ms (24% of total)

ival-div: 7.0ms (14% of total)

ival-pow2: 5.0ms (10% of total)

ival-sqrt: 3.0ms (6% of total)

ival-add: 2.0ms (4% of total)

exact: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess219.0ms (2.7%)

Memory

-18.5MiB live, 217.4MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	246
1	206	240
2	634	240
3	2468	240
4	7900	240
0	17	24
0	28	24
1	52	24
2	124	24
3	397	24
4	1954	24
5	7914	24
0	8030	24

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

(abs U)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

71.2%

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

simplify126.0ms (1.5%)

Memory

-25.5MiB live, 169.3MiB allocated; 35ms collecting garbage

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	52	110
2	124	110
3	397	110
4	1954	110
5	7914	110
0	8030	110

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (0.7%)

Memory

6.5MiB live, 63.4MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21779252930532603	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	0.33946295235398216	(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy	8.965565916642076	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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	9.429035967312432	(sqrt.f64 (+.f64 #s(literal 1 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

50.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 13.0ms (40.5% of total)

ival-mult: 7.0ms (21.8% of total)

ival-cos: 6.0ms (18.7% of total)

ival-sqrt: 2.0ms (6.2% of total)

ival-pow2: 2.0ms (6.2% of total)

ival-add: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.6%)

Memory

25.0MiB live, 70.3MiB allocated; 3ms collecting garbage

Counts

7 → 69

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))))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #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
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	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))) (/ U (* (* 2 J) (cos (/ K 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))) (/ U (* (* 2 J) (cos (/ K 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	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))) (/ U (* (* 2 J) (cos (/ K 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
5.0ms	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))) (/ U (* (* 2 J) (cos (/ K 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
4.0ms	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))) (/ U (* (* 2 J) (cos (/ K 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify166.0ms (2%)

Memory

-10.8MiB live, 174.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	3815
1	1521	3687
2	7326	3687
0	8021	3545

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
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Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) (.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 1 binary64))) (neg.f64 U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 U J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.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)))) (neg.f64 U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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))))) (neg.f64 U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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)))))))))
#s(approx (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 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 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)))))) (neg.f64 U)))

rewrite60.0ms (0.7%)

Memory

-0.3MiB live, 89.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	28	76
1	80	70
0	467	70

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

7 → 78

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

Outputs
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.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 -2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
(.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) J))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 K #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(.f64 (pow.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)) #s(literal 1/4 binary64)) (pow.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)) #s(literal 1/4 binary64)))
(pow.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)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #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 4 binary64)))) (sqrt.f64 (-.f64 #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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 #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 4 binary64))) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 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)))
(exp.f64 (.f64 (log1p.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 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J))
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(/.f64 (neg.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 U)) (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (neg.f64 U) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(neg.f64 (/.f64 (neg.f64 U) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(neg.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (neg.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (neg.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 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))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #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)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal 2 binary64))
(pow.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))
(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 #s(literal 2 binary64) (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 2 binary64))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 U (/.f64 (/.f64 U (.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 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (neg.f64 U)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 (/.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 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (neg.f64 U)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(/.f64 (.f64 (neg.f64 U) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (.f64 (neg.f64 U) (neg.f64 U)) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(/.f64 (.f64 U (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.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 U (neg.f64 U)) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 U U) (.f64 (.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))))))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))

eval29.0ms (0.3%)

Memory: 6.6MiB live, 63.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 6 636 to 867 computations (86.9% saved)

prune9.0ms (0.1%)

Memory

-27.2MiB live, 19.5MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	151	7	158
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	7	159

Accuracy

99.9%

Counts

159 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
	31.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))))) (.f64 K K) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64)))
▶	37.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
▶	49.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
▶	40.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	15.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 554 to 360 computations (35% saved)

simplify84.0ms (1%)

Memory

34.9MiB live, 125.3MiB allocated; 7ms collecting garbage

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	345
0	66	345
1	119	345
2	284	345
3	818	345
4	3425	345
0	8129	345

Stop Event

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

Calls

Call 1

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

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

localize115.0ms (1.4%)

Memory

-7.5MiB live, 141.4MiB allocated; 19ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	0.00390625	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy	0.125	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
accuracy	32.40994934728649	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
accuracy	6.817324496132244	(/.f64 (*.f64 U U) J)
accuracy	8.903065916642076	(.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
accuracy	9.414874022473215	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	22.1411528590762	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
accuracy	0.0	(neg.f64 U)
accuracy	37.85346257377415	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	54.14352625699291	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
accuracy	0.21779252930532603	(pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy	8.965565916642076	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U ( (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
accuracy	9.429035967312432	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
accuracy	26.419837854806833	#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 290 to 35 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 16.0ms (36.7% of total)

ival-cos: 11.0ms (25.2% of total)

ival-div: 7.0ms (16% of total)

ival-sqrt: 3.0ms (6.9% of total)

ival-add: 2.0ms (4.6% of total)

ival-pow2: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

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

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

series52.0ms (0.6%)

Memory

6.7MiB live, 104.9MiB allocated; 10ms collecting garbage

Counts

19 → 125

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 U))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -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)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* (/ 1/4 J) (/ (* U U) J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (* -1/2 K) (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* U U) J))
9.0ms	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)) (* (* (* -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)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* (/ 1/4 J) (/ (* U U) J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (* -1/2 K) (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* U U) J))
7.0ms	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)) (* (* (* -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)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* (/ 1/4 J) (/ (* U U) J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (* -1/2 K) (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* U U) J))
5.0ms	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)) (* (* (* -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)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* (/ 1/4 J) (/ (* U U) J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (* -1/2 K) (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* U U) J))
5.0ms	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)) (* (* (* -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)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* (/ 1/4 J) (/ (* U U) J)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (* -1/2 K) (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* U U) J))

simplify194.0ms (2.4%)

Memory

3.6MiB live, 234.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	5437
1	2079	5290
0	8828	5060

Stop Event

1×	iter limit
1×	node limit

Counts

125 → 125

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (+ (* (/ 1/4 J) (/ (* U U) J)) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (/ 1/4 J) (/ (* U U) J)) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (* -2 (* J (cos (* -1/2 K))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 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)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ (* U U) J) #s(hole binary64 (/ (pow U 2) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (+ (* (/ 1/4 J) (/ (* U U) J)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1/4 J) (/ (* U U) J)) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 1))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* -1/2 K) #s(hole binary64 (* -1/2 K)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (cos (* -1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 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)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (+ (* (/ 1/4 J) (/ (* U U) J)) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 U))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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)))))))))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#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(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 U)))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U)) #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(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) (.f64 U U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 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(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) (.f64 U U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64))) (neg.f64 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 U))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) U)
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 J U) (/.f64 J U)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 J U) (/.f64 J U)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 U)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 U)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (neg.f64 U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -1/2 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (neg.f64 U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))) (neg.f64 U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -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)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))) (neg.f64 U)))

rewrite53.0ms (0.6%)

Memory

-13.5MiB live, 77.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	284
0	66	284
1	183	266
0	1109	266

Stop Event

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

Counts

19 → 123

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

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

eval72.0ms (0.9%)

Memory: -18.7MiB live, 83.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 12 264 to 1 215 computations (90.1% saved)

prune17.0ms (0.2%)

Memory

44.4MiB live, 44.4MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	242	11	253
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	246	14	260

Accuracy

99.9%

Counts

260 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
▶	49.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)))
	42.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
	32.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
✓	49.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
▶	12.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
▶	26.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
✓	40.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
▶	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J))))
	14.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))))
▶	27.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))
	26.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* -1/2 K)) (* -2 J)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
✓	15.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 1 106 to 747 computations (32.5% saved)

simplify185.0ms (2.2%)

Memory

-19.4MiB live, 176.3MiB allocated; 21ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
cost-diff	0	(.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
cost-diff	0	(*.f64 U (/.f64 U J))
cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.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 (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J))))
cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (*.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 (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))
cost-diff	2	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	3	(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	3	(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	6	(fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	537
0	94	500
1	182	488
2	482	484
3	1405	484
4	5689	484
0	8024	477

Stop Event

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

Calls

Call 1

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

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

localize1.7s (20.8%)

Memory

4.6MiB live, 2 043.9MiB allocated; 301ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	8.36968149547202	(.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))
accuracy	8.903065916642076	(.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J))
accuracy	22.1411528590762	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
accuracy	63.50218597487979	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
accuracy	0.00390625	(fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J))
accuracy	0.15234375	(*.f64 U (/.f64 U J))
accuracy	22.1411528590762	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J))))
accuracy	31.642823360110647	#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	0.125	(.f64 #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
accuracy	32.40994934728649	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
accuracy	33.88059152640679	#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	22.1411528590762	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))
accuracy	32.408528372033246	#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J))
accuracy	0.00390625	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.125	(.f64 (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J))
accuracy	32.40994934728649	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (sin.f64 (.f64 #s(literal -1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) J)))
accuracy	61.920506293690316	(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))

Samples

1.6s

256×

valid

Compiler

Compiled 370 to 57 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sin: 1.2s (76.8% of total)

ival-cos: 113.0ms (7.3% of total)

adjust: 84.0ms (5.5% of total)

ival-mult: 64.0ms (4.2% of total)

ival-add: 32.0ms (2.1% of total)

ival-pi: 26.0ms (1.7% of total)

ival-div: 23.0ms (1.5% of total)

ival-sqrt: 7.0ms (0.5% of total)

ival-pow2: 5.0ms (0.3% of total)

exact: 1.0ms (0.1% of total)

ival-neg: 1.0ms (0.1% of total)

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

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

series69.0ms (0.8%)

Memory

27.1MiB live, 74.0MiB allocated; 4ms collecting garbage

Counts

22 → 115

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (* -2 (* J (cos (* -1/2 K))))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* -1/4 (/ (pow U 2) J))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)))
#s(approx (* U (/ U J)) #s(hole binary64 (/ (pow U 2) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
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#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (* -2 (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* -1 (/ J U))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* -1 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U))))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* K (cos (* 1/2 (PI))))))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* K (+ (* -1/2 (cos (* 1/2 (PI)))) (* -1/8 (* K (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* K (+ (* -1/2 (cos (* 1/2 (PI)))) (* K (+ (* -1/8 (sin (* 1/2 (PI)))) (* 1/48 (* K (cos (* 1/2 (PI))))))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/8 (* (pow K 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow K 2) (+ (* -1/8 (sin (* 1/2 (PI)))) (* 1/384 (* (pow K 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow K 2) (+ (* -1/8 (sin (* 1/2 (PI)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (sin (* 1/2 (PI))))) (* 1/384 (sin (* 1/2 (PI)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 1))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (* -2 (* J (sin (* 1/2 (PI)))))))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* J (* K (cos (* 1/2 (PI))))))))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* 1/4 (* J (* K (sin (* 1/2 (PI)))))) (* J (cos (* 1/2 (PI)))))))))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* J (cos (* 1/2 (PI)))) (* K (+ (* -1/24 (* J (* K (cos (* 1/2 (PI)))))) (* 1/4 (* J (sin (* 1/2 (PI))))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 K))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 K)) (sin (* 1/2 (PI))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (cos (* -1/2 K))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (* -1/8 (pow K 2))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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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#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 U))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	K	@	0	((+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* -1/4 (* U (/ U J))) (* -2 J)) (* U (/ U J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) (cos (* 1/2 K)))
7.0ms	J	@	0	((+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* -1/4 (* U (/ U J))) (* -2 J)) (* U (/ U J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) (cos (* 1/2 K)))
6.0ms	J	@	inf	((+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* -1/4 (* U (/ U J))) (* -2 J)) (* U (/ U J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) (cos (* 1/2 K)))
5.0ms	J	@	-inf	((+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* -1/4 (* U (/ U J))) (* -2 J)) (* U (/ U J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) (cos (* 1/2 K)))
4.0ms	K	@	inf	((+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (cos (/ (PI) 2)) (sin (/ (PI) 2)) (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* -1/4 (* U (/ U J))) (* -2 J)) (* U (/ U J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) (cos (* 1/2 K)))

simplify180.0ms (2.2%)

Memory

-15.9MiB live, 218.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	636	4440
1	1863	4285
0	8347	4082

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 115

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (* -2 (* J (cos (* -1/2 K))))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* -1/4 (/ (pow U 2) J))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)))
#s(approx (* U (/ U J)) #s(hole binary64 (/ (pow U 2) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (* -2 (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* -1 (/ J U))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* -1 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U))))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (* K (cos (* 1/2 (PI))))))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* K (+ (* -1/2 (cos (* 1/2 (PI)))) (* -1/8 (* K (sin (* 1/2 (PI))))))))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* K (+ (* -1/2 (cos (* 1/2 (PI)))) (* K (+ (* -1/8 (sin (* 1/2 (PI)))) (* 1/48 (* K (cos (* 1/2 (PI))))))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/8 (* (pow K 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow K 2) (+ (* -1/8 (sin (* 1/2 (PI)))) (* 1/384 (* (pow K 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow K 2) (+ (* -1/8 (sin (* 1/2 (PI)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (sin (* 1/2 (PI))))) (* 1/384 (sin (* 1/2 (PI)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 1))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (* -2 (* J (sin (* 1/2 (PI)))))))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* J (* K (cos (* 1/2 (PI))))))))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* 1/4 (* J (* K (sin (* 1/2 (PI)))))) (* J (cos (* 1/2 (PI)))))))))
#s(approx (* (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (* -2 J)) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* J (cos (* 1/2 (PI)))) (* K (+ (* -1/24 (* J (* K (cos (* 1/2 (PI)))))) (* 1/4 (* J (sin (* 1/2 (PI))))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (+ (* (sin (* -1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* -1/2 K))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 K)) (sin (* 1/2 (PI))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (cos (* -1/2 K))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (* -1/8 (pow K 2))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 U))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))

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

rewrite84.0ms (1%)

Memory

25.3MiB live, 125.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	462
0	94	425
1	303	394
0	2290	387

Stop Event

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

Counts

22 → 238

Calls

Call 1

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

Outputs
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64))
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(-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (neg.f64 (*.f64 (/.f64 U J) U)) #s(literal -1/4 binary64)))
(-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (*.f64 (/.f64 U J) U) #s(literal 1/4 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64))) (pow.f64 (.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64))) (pow.f64 (.f64 (*.f64 (/.f64 U J) U) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64)) (*.f64 (neg.f64 J) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64)) (*.f64 J #s(literal -2 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (*.f64 (/.f64 U J) U) #s(literal -1/4 binary64)))
(*.f64 (fabs.f64 U) (/.f64 (fabs.f64 U) J))
(*.f64 (neg.f64 U) (/.f64 (neg.f64 U) J))
(*.f64 (/.f64 U J) U)
(*.f64 U (/.f64 U J))
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 J))
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 J)))
(/.f64 (*.f64 U U) J)
(neg.f64 (/.f64 (*.f64 (neg.f64 U) U) J))
(neg.f64 (/.f64 (*.f64 U U) (neg.f64 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))) (*.f64 J #s(literal -2 binary64))))
(.f64 (.f64 #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))) J) #s(literal -2 binary64))
(.f64 (.f64 #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))) #s(literal -2 binary64)) J)
(.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))))
(.f64 J (.f64 #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))) #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (.f64 J #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))) U)
(.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (neg.f64 U))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 J (.f64 U U)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64))) (neg.f64 U)) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 3 binary64)) (pow.f64 (/.f64 J (.f64 U U)) #s(literal 3 binary64))) (neg.f64 U)) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (pow.f64 (/.f64 J (.f64 U U)) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 U U) #s(literal 1/2 binary64) (.f64 J J)) (neg.f64 U)) (.f64 (*.f64 U U) J))
(/.f64 (.f64 (neg.f64 U) (-.f64 (pow.f64 (/.f64 J (.f64 U U)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64)))) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (.f64 (neg.f64 U) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 3 binary64)) (pow.f64 (/.f64 J (.f64 U U)) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) (pow.f64 (/.f64 J (.f64 U U)) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 U) (fma.f64 (.f64 U U) #s(literal 1/2 binary64) (.f64 J J))) (.f64 (*.f64 U U) J))
(neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))) U))
(fma.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) J) (.f64 (neg.f64 U) (/.f64 J (.f64 U U))))
(fma.f64 (neg.f64 U) (/.f64 J (.f64 U U)) (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) J) (neg.f64 U) (.f64 (/.f64 J (.f64 U U)) (neg.f64 U)))
(fma.f64 (/.f64 J (.f64 U U)) (neg.f64 U) (.f64 (/.f64 #s(literal 1/2 binary64) J) (neg.f64 U)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) (neg.f64 U)) (.f64 (/.f64 J (*.f64 U U)) (neg.f64 U)))
(+.f64 (.f64 (/.f64 J (.f64 U U)) (neg.f64 U)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (neg.f64 U)))
(+.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) J)) (.f64 (neg.f64 U) (/.f64 J (*.f64 U U))))
(+.f64 (.f64 (neg.f64 U) (/.f64 J (.f64 U U))) (*.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (.f64 J #s(literal -2 binary64)) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64))))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J (.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64))))
(fma.f64 (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J (.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64))))
(fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64))))
(fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 J #s(literal -2 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (.f64 J #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 0 binary64) (*.f64 J #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 0 binary64)))
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 K #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(-.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (neg.f64 (sin.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 0 binary64)))
(-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(-.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (PI.f64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval40.0ms (0.5%)

Memory: -2.0MiB live, 90.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 15 841 to 1 398 computations (91.2% saved)

prune28.0ms (0.3%)

Memory

-32.0MiB live, 66.1MiB allocated; 7ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	285	11	296
Fresh	2	4	6
Picked	3	2	5
Done	0	3	3
Total	290	20	310

Accuracy

100.0%

Counts

310 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
	49.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	49.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64))))
▶	49.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J)))
	32.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
✓	49.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
▶	30.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U)) (.f64 #s(literal -2 binary64) J)))
▶	10.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (.f64 (neg.f64 J) J) U)) J))) (.f64 #s(literal -2 binary64) J)))
	2.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (neg.f64 J) U))) (*.f64 #s(literal -2 binary64) J)))
	10.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (.f64 (-.f64 (.f64 (/.f64 (/.f64 U J) J) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J))) (*.f64 #s(literal -2 binary64) J)))
▶	3.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( -1/2 K)) #s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
✓	40.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
✓	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J))))
	14.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))))
✓	27.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))
	16.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) (/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 (*.f64 J J) #s(literal -2 binary64))) J))))
	13.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 J U) (/.f64 #s(literal -1/4 binary64) J)) (.f64 U U)))))
	26.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* -1/2 K)) (* -2 J)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
✓	15.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 1 765 to 1 159 computations (34.3% saved)

simplify134.0ms (1.6%)

Memory

33.1MiB live, 221.9MiB allocated; 15ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U)
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U))
cost-diff	0	(.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U)) (.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U)) (.f64 #s(literal -2 binary64) J)))
cost-diff	0	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (*.f64 (neg.f64 J) J) U)) J)))
cost-diff	0	(.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (.f64 (neg.f64 J) J) U)) J))) (.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (.f64 (neg.f64 J) J) U)) J))) (.f64 #s(literal -2 binary64) J)))
cost-diff	2	(/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (*.f64 (neg.f64 J) J) U)) J)
cost-diff	0	(/.f64 (*.f64 J J) U)
cost-diff	0	(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))
cost-diff	0	#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
cost-diff	0	#s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))
cost-diff	0	#s(approx (cos (* -1/2 K)) #s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64))))
cost-diff	0	(.f64 #s(approx (cos ( -1/2 K)) #s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( -1/2 K)) #s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
cost-diff	0	(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J)))
cost-diff	2	(-.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64))
cost-diff	7	(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	666
0	105	651
1	205	651
2	503	637
3	1455	627
4	6228	627
0	8332	615

Stop Event

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

Calls

Call 1

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

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

localize262.0ms (3.2%)

Memory

32.0MiB live, 525.2MiB allocated; 128ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.36968149547202	(*.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U)
accuracy	8.903065916642076	(.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U)) (.f64 #s(literal -2 binary64) J))
accuracy	22.1411528590762	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U)) (.f64 #s(literal -2 binary64) J)))
accuracy	28.694510737748264	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (-.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal -1/2 binary64) J)) U))
accuracy	8.50695563802658	(/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (*.f64 (neg.f64 J) J) U)) J)
accuracy	8.903065916642076	(.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (.f64 (neg.f64 J) J) U)) J))) (.f64 #s(literal -2 binary64) J))
accuracy	22.1411528590762	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (.f64 (neg.f64 J) J) U)) J))) (.f64 #s(literal -2 binary64) J)))
accuracy	63.50218597487979	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (*.f64 (neg.f64 J) J) U)) J)))
accuracy	0.00390625	(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))
accuracy	7.985848090986677	(/.f64 (*.f64 J J) U)
accuracy	22.1411528590762	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
accuracy	27.99031028672173	#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
accuracy	0.125	(.f64 #s(approx (cos ( -1/2 K)) #s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J))
accuracy	29.074099941451777	#s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))
accuracy	32.40994934728649	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( -1/2 K)) #s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
accuracy	33.88059152640679	#s(approx (cos (* -1/2 K)) #s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64))))
accuracy	0.125	(.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J))
accuracy	0.28515625	(/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	0.29134750976844204	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	32.40994934728649	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J)))

Samples

193.0ms

256×

valid

Compiler

Compiled 402 to 64 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-div: 55.0ms (33.2% of total)

ival-mult: 37.0ms (22.3% of total)

ival-cos: 34.0ms (20.5% of total)

ival-sqrt: 21.0ms (12.7% of total)

ival-add: 9.0ms (5.4% of total)

ival-pow2: 5.0ms (3% of total)

ival-sub: 2.0ms (1.2% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

series51.0ms (0.6%)

Memory

13.2MiB live, 110.8MiB allocated; 26ms collecting garbage

Counts

21 → 122

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (* -2 (* J (cos (* -1/2 K))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 U)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 U)))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (- (* -2 (/ (pow J 2) U)) U)))
#s(approx (/ (* J J) U) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))))
#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (* -1 (/ J U))))
#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (/ J U)))
#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (* -1 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U))))))
#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))))
#s(approx (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) #s(hole binary64 1))
#s(approx (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (- (pow (cos (* 1/2 K)) 2) 0) #s(hole binary64 1))
#s(approx (- (pow (cos (* 1/2 K)) 2) 0) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (- (pow (cos (* 1/2 K)) 2) 0) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (- (pow (cos (* 1/2 K)) 2) 0) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))))))))))
#s(approx (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (cos (* -1/2 K)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 1))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (pow (cos (* 1/2 K)) 2) #s(hole binary64 1))
#s(approx (pow (cos (* 1/2 K)) 2) #s(hole binary64 (+ 1 (* -1/4 (pow K 2)))))
#s(approx (pow (cos (* 1/2 K)) 2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))))
#s(approx (pow (cos (* 1/2 K)) 2) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))))
#s(approx (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (- (pow (cos (* 1/2 K)) 2) 0) #s(hole binary64 (pow (cos (* 1/2 K)) 2)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (* -1/2 K)) #s(hole binary64 (cos (* -1/2 K))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (* -1/8 (pow K 2))))
#s(approx (+ (* -1/8 (* K K)) 1) #s(hole binary64 (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))))
#s(approx (pow (cos (* 1/2 K)) 2) #s(hole binary64 (pow (cos (* 1/2 K)) 2)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* 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))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 U))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* (/ (* J J) U) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	J	@	inf	((/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (- (pow (cos (* 1/2 K)) 2) 0) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (/ (/ J U) U) (/ -1/2 J)) U) (pow (cos (* 1/2 K)) 2))
11.0ms	K	@	0	((/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (- (pow (cos (* 1/2 K)) 2) 0) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (/ (/ J U) U) (/ -1/2 J)) U) (pow (cos (* 1/2 K)) 2))
4.0ms	J	@	0	((/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (- (pow (cos (* 1/2 K)) 2) 0) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (/ (/ J U) U) (/ -1/2 J)) U) (pow (cos (* 1/2 K)) 2))
4.0ms	J	@	-inf	((/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (- (pow (cos (* 1/2 K)) 2) 0) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (/ (/ J U) U) (/ -1/2 J)) U) (pow (cos (* 1/2 K)) 2))
3.0ms	K	@	inf	((/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (- (pow (cos (* 1/2 K)) 2) 0) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) (* -2 J)) (cos (* -1/2 K)) (+ (* -1/8 (* K K)) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (+ (* (/ (* J J) U) -2) (neg U)) (/ (* J J) U) (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (- (/ (/ J U) U) (/ -1/2 J)) U) (pow (cos (* 1/2 K)) 2))

simplify167.0ms (2%)

Memory

-2.2MiB live, 273.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	610	4453
1	1722	4375
0	8132	4183

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 122

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -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))))))))))
#s(approx (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
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#s(approx (/ (+ (* -1/2 U) (/ (* (neg J) J) U)) J) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
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#s(approx (* (- (/ (/ J U) U) (/ -1/2 J)) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))

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

rewrite138.0ms (1.7%)

Memory

-42.7MiB live, 63.5MiB allocated; 136ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	548
0	105	540
0	358	528

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

21 → 54

Calls

Call 1

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

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

eval25.0ms (0.3%)

Memory: 4.7MiB live, 50.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 547 to 865 computations (90.9% saved)

prune26.0ms (0.3%)

Memory

3.4MiB live, 48.8MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	2	8	10
Picked	3	2	5
Done	0	5	5
Total	163	19	182

Accuracy

100.0%

Counts

182 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
	49.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
	49.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64)) (.f64 J #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 0 binary64))))
	49.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J)))
	32.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
✓	49.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
✓	10.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (/.f64 (.f64 (neg.f64 J) J) U)) J))) (.f64 #s(literal -2 binary64) J)))
	2.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (/.f64 (neg.f64 J) U))) (*.f64 #s(literal -2 binary64) J)))
	10.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) (neg U)) (.f64 (-.f64 (.f64 (/.f64 (/.f64 U J) J) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) U)) J))) (*.f64 #s(literal -2 binary64) J)))
✓	3.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( -1/2 K)) #s(approx (+ (* -1/8 (* K K)) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))) (*.f64 #s(literal -2 binary64) J)))
✓	40.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	26.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (/ (- (pow (cos (* 1/2 K)) 2) 0) (cos (* 1/2 K))) (* -2 J)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
	41.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
✓	28.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J))))
	14.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))))
✓	27.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))
	16.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) (/.f64 (fma.f64 (.f64 U U) #s(literal -1/4 binary64) (.f64 (*.f64 J J) #s(literal -2 binary64))) J))))
	13.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(approx (+ (* -1/4 (* U (/ U J))) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 J U) (/.f64 #s(literal -1/4 binary64) J)) (.f64 U U)))))
✓	15.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 2 578 to 870 computations (66.3% saved)

regimes63.0ms (0.8%)

Memory

11.0MiB live, 104.2MiB allocated; 14ms collecting garbage

Counts

34 → 3

Calls

Call 1

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

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

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

Calls

6 calls:

14.0ms	J
12.0ms	(/.f64 K #s(literal 2 binary64))
9.0ms	U
9.0ms	K
8.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
71.2%	1	`(/.f64 K #s(literal 2 binary64))`
71.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
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)))))`
80.8%	2	`J`
71.2%	1	`K`
80.4%	2	`U`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes9.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
89.4%	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)

regimes8.0ms (0.1%)

Memory

16.2MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

26 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
86.8%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes22.0ms (0.3%)

Memory

-8.3MiB live, 36.9MiB allocated; 5ms collecting garbage

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms

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

6.0ms

Results

Accuracy	Segments	Branch
59.1%	2	`U`
56.0%	2	`J`
78.3%	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 26 to 23 computations (11.5% saved)

regimes26.0ms (0.3%)

Memory

-0.3MiB live, 44.8MiB allocated; 5ms collecting garbage

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

9.0ms	K
6.0ms	(/.f64 K #s(literal 2 binary64))
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	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
62.8%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
49.5%	2	`(/.f64 K #s(literal 2 binary64))`
49.5%	2	`K`
73.1%	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 32 to 31 computations (3.1% saved)

regimes6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

19 → 4

Calls

Call 1

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

Calls

1 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)))))

Results

Accuracy	Segments	Branch
70.9%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory

-39.4MiB live, 11.2MiB allocated; 9ms collecting garbage

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
64.1%	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 24 to 17 computations (29.2% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
63.8%	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)

regimes6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

#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))

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

Calls

4 calls:

1.0ms	J
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	U
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
40.9%	1	`J`
40.9%	1	`U`
54.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
54.8%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

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)))) U)

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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	J
1.0ms	U
1.0ms	K

Results

Accuracy	Segments	Branch
15.4%	1	`J`
15.4%	1	`U`
15.4%	1	`(/.f64 K #s(literal 2 binary64))`
15.4%	1	`K`
15.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
15.4%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.585261540850451e+297	+inf
0.0ms	-inf	-6.202197316154814e+305

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch3.0ms (0%)

Memory

-45.1MiB live, 1.1MiB allocated; 4ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.585261540850451e+297	+inf
2.0ms	-inf	-6.202197316154814e+305

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	9.585261540850451e+297	+inf
0.0ms	-5.3689555021843266e-198	-5.071313578518269e-201
0.0ms	-3.718460435798938e+239	-2.4767431167301307e+238
0.0ms	-inf	-6.202197316154814e+305

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-8.564569363389587e-253	2.436069496789767e-251
0.0ms	-inf	-6.202197316154814e+305

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-8.564569363389587e-253	2.436069496789767e-251
0.0ms	-inf	-6.202197316154814e+305

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.564569363389587e-253	2.436069496789767e-251
0.0ms	-2.034905681469947e-118	-1.4422005327944631e-130
0.0ms	-inf	-6.202197316154814e+305

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-8.564569363389587e-253	2.436069496789767e-251
0.0ms	-inf	-6.202197316154814e+305

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-8.564569363389587e-253	2.436069496789767e-251
0.0ms	-inf	-6.202197316154814e+305

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.564569363389587e-253	2.436069496789767e-251

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify51.0ms (0.6%)

Memory

19.5MiB live, 64.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1562
1	162	1562
2	292	1562
3	732	1562
4	3113	1562

Stop Event

1×	node limit

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 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #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 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 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 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #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 -199999999999999998162358290876441340593413244329265374907560585004311481443940385202244130951933522596175198521314575255774034862338944188470905366461433652815124969188330464270599473687582276175966043542804182916112239152873896668045508608 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J))) (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 -3366486976990959/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) J) #s(literal -2 binary64))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #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 -8254602048994769/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) J) #s(literal -2 binary64))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -8254602048994769/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))) (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 -8254602048994769/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 -8254602048994769/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (fma.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)) (.f64 #s(literal -2 binary64) J)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

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

derivations284.0ms (3.5%)

Memory

-12.8MiB live, 320.3MiB allocated; 63ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 1 562 to 121 computations (92.3% saved)

preprocess144.0ms (1.8%)

Memory: 36.3MiB live, 369.3MiB allocated; 44ms collecting garbage
Remove: (abs K)
Compiler: Compiled 4 782 to 836 computations (82.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze447.0ms (5.4%)

sample2.4s (29.6%)

explain292.0ms (3.6%)

preprocess219.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify126.0ms (1.5%)

localize61.0ms (0.7%)

series47.0ms (0.6%)

simplify166.0ms (2%)

rewrite60.0ms (0.7%)

eval29.0ms (0.3%)

prune9.0ms (0.1%)

simplify84.0ms (1%)

localize115.0ms (1.4%)

series52.0ms (0.6%)

simplify194.0ms (2.4%)

rewrite53.0ms (0.6%)

eval72.0ms (0.9%)

prune17.0ms (0.2%)

simplify185.0ms (2.2%)

localize1.7s (20.8%)

series69.0ms (0.8%)

simplify180.0ms (2.2%)

rewrite84.0ms (1%)

eval40.0ms (0.5%)

prune28.0ms (0.3%)

simplify134.0ms (1.6%)

localize262.0ms (3.2%)

series51.0ms (0.6%)

simplify167.0ms (2%)

rewrite138.0ms (1.7%)

eval25.0ms (0.3%)

prune26.0ms (0.3%)

regimes63.0ms (0.8%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes22.0ms (0.3%)

regimes26.0ms (0.3%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch3.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify51.0ms (0.6%)

derivations284.0ms (3.5%)

preprocess144.0ms (1.8%)

end0.0ms (0%)

Profiling