Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

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

analyze446.0ms (6%)

Memory

-25.0MiB live, 666.2MiB allocated; 137ms 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)

sample1.7s (22.7%)

Memory

56.4MiB live, 2 363.2MiB allocated; 342ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 957.0ms

ival-mult: 267.0ms (27.9% of total)

ival-cos: 235.0ms (24.6% of total)

ival-div: 180.0ms (18.8% of total)

ival-pow2: 108.0ms (11.3% of total)

ival-sqrt: 103.0ms (10.8% of total)

ival-add: 41.0ms (4.3% of total)

exact: 12.0ms (1.3% of total)

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

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

adjust: 2.0ms (0.2% of total)

Bogosity

explain288.0ms (3.9%)

Memory

-3.2MiB live, 376.7MiB allocated; 50ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
54	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))))`
31	0	-	-	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
0	0	-	-	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	127	(-3.907632232181361e-145 3.8627091390284256e+185 5.0094570046961276e+33)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) J)`
0	0	-	-	`U`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`
0	0	-	-	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`
0	0	-	-	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`
0	0	-	-	`J`
0	0	-	-	`(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) J)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	127	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	54	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	31
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	31
↳	`(+.f64 #s(literal 1 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	85
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	85
`*.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**	31	0

Confusion

	Predicted +	Predicted -
+	85	0
-	84	87

Precision

0.5029585798816568

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	0
-	84	0	87

Precision?

0.5029585798816568

Recall?

1.0

Freqs

test

number	freq
0	87
1	126
2	43

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms

512×

valid

Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions

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

ival-sqrt: 15.0ms (26.8% of total)

ival-mult: 14.0ms (25% of total)

ival-cos: 11.0ms (19.6% of total)

ival-div: 7.0ms (12.5% of total)

ival-pow2: 5.0ms (8.9% of total)

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

exact: 1.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess253.0ms (3.4%)

Memory

-32.5MiB live, 187.5MiB allocated; 96ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	222
1	198	216
2	621	216
3	2458	216
4	7916	216
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 U)

(abs K)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(.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)))))

Status

Accuracy

Program

▶

68.5%

(*.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)

simplify124.0ms (1.7%)

Memory

17.7MiB live, 112.4MiB allocated; 12ms 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)

localize74.0ms (1%)

Memory

-0.2MiB live, 45.7MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.19207001953688402	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	7.293163783236509	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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	12.588997620017386	(sqrt.f64 (+.f64 #s(literal 1 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

63.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 35.0ms (66% of total)

ival-mult: 7.0ms (13.2% of total)

ival-cos: 5.0ms (9.4% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-pow2: 2.0ms (3.8% of total)

ival-add: 1.0ms (1.9% 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)

series59.0ms (0.8%)

Memory

-7.0MiB live, 39.0MiB allocated; 3ms collecting garbage

Counts

6 → 64

Calls

Call 1

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

Outputs
#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 (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 (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
25.0ms	J	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
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)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify195.0ms (2.6%)

Memory

-2.4MiB live, 233.2MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	3652
1	1379	3536
2	6528	3532
0	8335	3392

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

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 (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 (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))) (.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)))

rewrite61.0ms (0.8%)

Memory

-9.9MiB live, 82.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	28	66
1	80	60
0	467	60

Stop Event

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

Counts

6 → 66

Calls

Call 1

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

Outputs
(.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 (.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))))

eval23.0ms (0.3%)

Memory: -0.8MiB live, 45.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 095 to 761 computations (87.5% saved)

prune9.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	130	11	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	11	142

Accuracy

99.9%

Counts

142 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(.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) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
	10.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
▶	52.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	36.1%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	38.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	46.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	43.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J))
▶	35.0%	#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)))
	47.4%	#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)))
	44.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 790 to 568 computations (28.1% saved)

simplify157.0ms (2.1%)

Memory

-6.7MiB live, 145.4MiB allocated; 25ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	517
0	79	517
1	136	517
2	326	517
3	1017	517
4	4720	517
0	8440	517

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

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

localize130.0ms (1.8%)

Memory

9.3MiB live, 193.9MiB allocated; 17ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.19207001953688402	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	7.293163783236509	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	12.588997620017386	(sqrt.f64 (+.f64 #s(literal 1 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	28.589604459356746	#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
accuracy	7.108374645165332	(/.f64 (*.f64 U U) J)
accuracy	7.293163783236509	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
accuracy	10.327498687597261	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
accuracy	12.583954333291988	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	7.108374645165332	(/.f64 (*.f64 U U) J)
accuracy	7.269726283236509	(.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	12.583954333291988	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	20.37381524517165	#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	55.96212616769579	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
accuracy	0.1328125	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.19207001953688402	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy	7.293163783236509	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy	12.588997620017386	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))

Samples

80.0ms

256×

valid

Compiler

Compiled 439 to 30 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 17.0ms (40.6% of total)

ival-cos: 10.0ms (23.9% of total)

ival-div: 6.0ms (14.3% of total)

ival-sqrt: 3.0ms (7.2% of total)

ival-add: 2.0ms (4.8% of total)

ival-pow2: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

series37.0ms (0.5%)

Memory

-32.4MiB live, 69.1MiB allocated; 8ms collecting garbage

Counts

18 → 108

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

Calls

9 calls:

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

simplify169.0ms (2.3%)

Memory

29.0MiB live, 214.8MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	5078
1	1910	4945
0	8467	4726

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

rewrite58.0ms (0.8%)

Memory

-13.0MiB live, 79.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	318
0	79	318
1	202	294
0	1192	294

Stop Event

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

Counts

18 → 167

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

eval62.0ms (0.8%)

Memory: -1.8MiB live, 141.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 17 781 to 1 559 computations (91.2% saved)

prune47.0ms (0.6%)

Memory

1.5MiB live, 48.8MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	369	15	384
Fresh	3	3	6
Picked	4	1	5
Done	0	0	0
Total	376	19	395

Accuracy

99.9%

Counts

395 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
	30.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	30.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	29.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	68.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶	30.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	43.7%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J) #s(literal 1 binary64)))))
	48.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	43.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J))
	31.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
	47.4%	#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)))
	34.9%	#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)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (.f64 J J) U)) J)) (.f64 #s(literal -2 binary64) J)))
	9.3%	#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)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
▶	44.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	43.8%	#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))))
	27.7%	#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))))
▶	12.3%	#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)) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U)) #s(literal 1 binary64)) (neg.f64 U))))
	27.0%	#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)))
✓	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 1 684 to 1 110 computations (34.1% saved)

simplify839.0ms (11.3%)

Memory

-84.4MiB live, 356.2MiB allocated; 1.2s collecting garbage

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	686
0	116	686
1	227	680
2	588	680
3	2044	676
0	8357	662

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.1%)

Memory

-9.4MiB live, 272.6MiB allocated; 18ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	10.327498687597261	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
accuracy	10.600018544899383	(.f64 (.f64 K K) J)
accuracy	12.583954333291988	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	31.04691704283957	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J)))
accuracy	7.293163783236509	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J) #s(literal 1 binary64)))))
accuracy	10.327498687597261	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J) #s(literal 1 binary64))))
accuracy	12.583954333291988	(sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J) #s(literal 1 binary64)))
accuracy	28.589604459356746	#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
accuracy	2.3926624232204476	(.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U))
accuracy	6.404119025043625	(/.f64 (*.f64 J J) U)
accuracy	20.37381524517165	#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))))
accuracy	63.409233660801995	#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)))
accuracy	0.0	(neg.f64 U)
accuracy	35.28076924456682	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.1328125	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	0.19207001953688402	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy	7.293163783236509	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy	12.588997620017386	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))

Samples

111.0ms

256×

valid

Compiler

Compiled 500 to 55 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 32.0ms (41.7% of total)

ival-div: 12.0ms (15.7% of total)

ival-cos: 10.0ms (13% of total)

ival-add: 6.0ms (7.8% of total)

const: 6.0ms (7.8% of total)

ival-sqrt: 5.0ms (6.5% of total)

ival-pow2: 2.0ms (2.6% of total)

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

exact: 1.0ms (1.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

series101.0ms (1.4%)

Memory

4.7MiB live, 101.9MiB allocated; 54ms collecting garbage

Counts

25 → 149

Calls

Call 1

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

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 (- (* (/ -2 U) (/ (* J J) U)) 1) #s(hole binary64 -1))
#s(approx (- (* (/ -2 U) (/ (* J J) U)) 1) #s(hole binary64 (- (* -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)))
#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 U) (/ (* J J) U)) 1) (neg U)) #s(hole binary64 U))
#s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) #s(hole binary64 (+ U (* 2 (/ (pow J 2) U)))))
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#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 (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 (+ (* (/ 1/4 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 (* (* (* -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 (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) #s(hole binary64 (* U (+ 1 (* 2 (/ (pow J 2) (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 (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 (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 (* (* (* -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 (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 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)))))))))
#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 (+ (* (/ 1/4 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)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
58.0ms	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)))) (neg U) (- (* (/ -2 U) (/ (* J J) U)) 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)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -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))) (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* J J) U) (* (/ -2 U) (/ (* J J) U)) (sqrt (+ (* (* (/ 1/4 J) U) (/ U J)) 1)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
11.0ms	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)))) (neg U) (- (* (/ -2 U) (/ (* J J) U)) 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)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -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))) (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* J J) U) (* (/ -2 U) (/ (* J J) U)) (sqrt (+ (* (* (/ 1/4 J) U) (/ U J)) 1)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* K K) J) (sqrt (+ 1 (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)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (- (* (/ -2 U) (/ (* J J) U)) 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)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -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))) (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* J J) U) (* (/ -2 U) (/ (* J J) U)) (sqrt (+ (* (* (/ 1/4 J) U) (/ U J)) 1)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
6.0ms	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)))) (neg U) (- (* (/ -2 U) (/ (* J J) U)) 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)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -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))) (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* J J) U) (* (/ -2 U) (/ (* J J) U)) (sqrt (+ (* (* (/ 1/4 J) U) (/ U J)) 1)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms	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)))) (neg U) (- (* (/ -2 U) (/ (* J J) U)) 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)) (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (* (* (* -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))) (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ (* J J) U) (* (/ -2 U) (/ (* J J) U)) (sqrt (+ (* (* (/ 1/4 J) U) (/ U J)) 1)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* (* K K) J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

simplify183.0ms (2.5%)

Memory

-0.5MiB live, 223.3MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	734	6216
1	2171	6058
0	8419	5792

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 149

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 (- (* (/ -2 U) (/ (* J J) U)) 1) #s(hole binary64 -1))
#s(approx (- (* (/ -2 U) (/ (* J J) U)) 1) #s(hole binary64 (- (* -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)))
#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 U) (/ (* J J) U)) 1) (neg U)) #s(hole binary64 U))
#s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) #s(hole binary64 (+ U (* 2 (/ (pow J 2) 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))) #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 (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) #s(hole binary64 (* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))))
#s(approx (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) #s(hole binary64 (* J (- (* 1/23040 (pow K 2)) 1/192))))
#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 (/ (* J J) U) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (* (/ -2 U) (/ (* J J) U)) #s(hole binary64 (* -2 (/ (pow J 2) (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 (/ (+ (* 1/2 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 (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 (* (* K K) J) #s(hole binary64 (* J (pow 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)))))))))
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#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 (* (* (* -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 (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
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#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)))))))))
#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 (+ (* (/ 1/4 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)))))))))

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

rewrite97.0ms (1.3%)

Memory

13.4MiB live, 113.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	503
0	116	503
1	356	475
0	2390	467

Stop Event

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

Counts

25 → 219

Calls

Call 1

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

Outputs
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(literal -2 binary64)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))))
(.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) J)
(.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) J))
(.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
(.f64 (.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 J (.f64 #s(literal -2 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(neg.f64 (*.f64 #s(literal 2 binary64) J))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 U #s(literal 2 binary64))) (*.f64 U #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 U U) #s(literal 2 binary64))) (.f64 (*.f64 U U) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U) #s(literal -1 binary64))
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(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal 1/23040 binary64) #s(literal -1/192 binary64))) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 J #s(literal -2 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (neg.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (neg.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (fabs.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (fabs.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 U (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U J) #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (/.f64 U J) #s(literal 2 binary64))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) U) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U J) #s(literal 2 binary64))) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 U (/.f64 (/.f64 U J) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 U U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 U U) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(*.f64 (/.f64 J U) J)
(*.f64 (neg.f64 J) (/.f64 (neg.f64 J) U))
(*.f64 (fabs.f64 J) (/.f64 (fabs.f64 J) U))
(*.f64 J (/.f64 J U))
(/.f64 (*.f64 (neg.f64 J) J) (neg.f64 U))
(/.f64 (*.f64 J J) (neg.f64 (neg.f64 U)))
(/.f64 (*.f64 J J) U)
(neg.f64 (/.f64 (*.f64 (neg.f64 J) J) U))
(neg.f64 (/.f64 (*.f64 J J) (neg.f64 U)))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U))
(.f64 (/.f64 #s(literal -2 binary64) (fabs.f64 U)) (/.f64 (.f64 J J) (fabs.f64 U)))
(.f64 (/.f64 #s(literal -2 binary64) (neg.f64 U)) (/.f64 (.f64 J J) (neg.f64 U)))
(.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 J J) U) (*.f64 (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 J J) U) (/.f64 #s(literal -2 binary64) U))
(.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (/.f64 (*.f64 J J) U) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)))
(.f64 J (.f64 (/.f64 J U) (/.f64 #s(literal -2 binary64) U)))
(.f64 #s(literal -2 binary64) (/.f64 (/.f64 (.f64 J J) U) U))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)))
(/.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (fabs.f64 U)) (fabs.f64 U))
(/.f64 (/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (neg.f64 U)) (neg.f64 U))
(/.f64 (.f64 (.f64 (neg.f64 J) J) (/.f64 #s(literal -2 binary64) U)) (neg.f64 U))
(/.f64 (.f64 (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) U)
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 U U))
(/.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)) (neg.f64 U))
(/.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (neg.f64 J) J)) (neg.f64 U))
(/.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 J J) U)) (neg.f64 U))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))) (neg.f64 U))
(/.f64 (neg.f64 (.f64 (.f64 J J) #s(literal -2 binary64))) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 (.f64 (neg.f64 J) J) #s(literal 2 binary64)) (*.f64 U U))
(/.f64 (.f64 (.f64 (neg.f64 J) J) #s(literal -2 binary64)) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 J) J)) (*.f64 U U))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (neg.f64 J) J)) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 U #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 U U) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 J J) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (*.f64 (neg.f64 U) U))
(/.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(/.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (*.f64 U U))
(.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 U J) U) (/.f64 #s(literal 1/4 binary64) 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 U J) U) (/.f64 #s(literal 1/4 binary64) J)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J))) (pow.f64 (.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) 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 U J) U) (/.f64 #s(literal 1/4 binary64) J))) #s(literal 1/2 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 U J) U) (/.f64 #s(literal 1/4 binary64) 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 U J) U) (/.f64 #s(literal 1/4 binary64) J)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J))) (pow.f64 (.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) 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 U J) U) (/.f64 #s(literal 1/4 binary64) J))) #s(literal 1/2 binary64)))
(.f64 (.f64 J (neg.f64 K)) (neg.f64 K))
(.f64 (.f64 J (fabs.f64 K)) (fabs.f64 K))
(.f64 (.f64 K J) K)
(.f64 (neg.f64 K) (.f64 (neg.f64 K) J))
(.f64 (fabs.f64 K) (.f64 (fabs.f64 K) J))
(.f64 (.f64 K K) J)
(.f64 K (.f64 K J))
(.f64 J (.f64 K K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) U) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))))

eval55.0ms (0.7%)

Memory: 21.5MiB live, 108.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 20 912 to 1 918 computations (90.8% saved)

prune39.0ms (0.5%)

Memory

-21.9MiB live, 76.9MiB allocated; 30ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	348	9	357
Fresh	5	8	13
Picked	2	3	5
Done	0	1	1
Total	355	21	376

Accuracy

99.9%

Counts

376 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
	30.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	30.0%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	29.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
✓	68.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶	30.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/23040 binary64)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
✓	43.7%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J) #s(literal 1 binary64)))))
	34.9%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
	46.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
▶	48.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	47.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
▶	31.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
✓	44.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	43.8%	#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))))
	27.7%	#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 (.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
▶	11.6%	#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)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))))
	2.3%	#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)) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U))) (neg.f64 U))))
▶	27.0%	#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)))
	2.3%	#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 (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)))))
	4.8%	#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)) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (-.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal -2 binary64) U)) (*.f64 J J)))))
✓	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 1 903 to 1 227 computations (35.5% saved)

simplify197.0ms (2.6%)

Memory

1.5MiB live, 199.8MiB allocated; 81ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	712
0	113	712
1	233	704
2	722	692
3	2863	692
0	8343	680

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

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

localize184.0ms (2.5%)

Memory

29.2MiB live, 266.1MiB allocated; 33ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	7.293163783236509	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/23040 binary64)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
accuracy	10.327498687597261	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
accuracy	12.583954333291988	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	31.04691704283957	#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/23040 binary64)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J)))
accuracy	7.269726283236509	(.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))
accuracy	12.583954333291988	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64)))
accuracy	13.288498435247629	(/.f64 (.f64 U U) (.f64 J J))
accuracy	20.37381524517165	#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)))
accuracy	1.8743155586653744	(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))
accuracy	13.522647890675742	(/.f64 (.f64 J J) (.f64 U U))
accuracy	20.37381524517165	#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 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U))))
accuracy	63.409233660801995	#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	20.37381524517165	#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	33.55166117155995	#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J))
accuracy	0.08984375	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy	0.14453125	(*.f64 U (/.f64 U J))
accuracy	0.20498561700706305	(.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J)))
accuracy	32.79693083738836	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))

Samples

145.0ms

256×

valid

Compiler

Compiled 484 to 68 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 42.0ms (37.6% of total)

ival-pow2: 21.0ms (18.8% of total)

ival-div: 11.0ms (9.9% of total)

ival-cos: 11.0ms (9.9% of total)

ival-add: 10.0ms (9% of total)

const: 9.0ms (8.1% of total)

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

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

exact: 1.0ms (0.9% of total)

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

adjust: 0.0ms (0% of total)

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

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

series76.0ms (1%)

Memory

-9.8MiB live, 82.2MiB allocated; 8ms collecting garbage

Counts

26 → 190

Calls

Call 1

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

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 (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))))
#s(approx (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) 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 (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) #s(hole binary64 U))
#s(approx (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) #s(hole binary64 (+ U (* 2 (/ (pow J 2) U)))))
#s(approx (+ (* -2 (/ (* J J) (* U U))) -1) #s(hole binary64 -1))
#s(approx (+ (* -2 (/ (* J J) (* U U))) -1) #s(hole binary64 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (* -1 U)))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 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 (+ (* -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 (* 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 (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))))
#s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
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#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J 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))))
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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))))))
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#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
30.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -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 J) (* U U))) -1) (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)) (+ (* -2 (/ (* J J) (* U U))) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (+ (* 1/4 (/ (* U U) (* J J))) 1) (* (+ (* (- (* (* K K) 1/23040) 1/192) (* K K)) 1/4) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* -2 J)) (* -1/4 (* U (/ U J))) (* U (/ U J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K))) (/ (* J J) (* U U)) (/ (* U U) (* J J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
7.0ms	J	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -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 J) (* U U))) -1) (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)) (+ (* -2 (/ (* J J) (* U U))) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (+ (* 1/4 (/ (* U U) (* J J))) 1) (* (+ (* (- (* (* K K) 1/23040) 1/192) (* K K)) 1/4) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* -2 J)) (* -1/4 (* U (/ U J))) (* U (/ U J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K))) (/ (* J J) (* U U)) (/ (* U U) (* J J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
6.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -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 J) (* U U))) -1) (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)) (+ (* -2 (/ (* J J) (* U U))) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (+ (* 1/4 (/ (* U U) (* J J))) 1) (* (+ (* (- (* (* K K) 1/23040) 1/192) (* K K)) 1/4) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* -2 J)) (* -1/4 (* U (/ U J))) (* U (/ U J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K))) (/ (* J J) (* U U)) (/ (* U U) (* J J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
6.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -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 J) (* U U))) -1) (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)) (+ (* -2 (/ (* J J) (* U U))) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (+ (* 1/4 (/ (* U U) (* J J))) 1) (* (+ (* (- (* (* K K) 1/23040) 1/192) (* K K)) 1/4) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* -2 J)) (* -1/4 (* U (/ U J))) (* U (/ U J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K))) (/ (* J J) (* U U)) (/ (* U U) (* J J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* -1/2 K) (* (* (* -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 J) (* U U))) -1) (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)) (+ (* -2 (/ (* J J) (* U U))) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (+ (* 1/4 (/ (* U U) (* J J))) 1) (* (+ (* (- (* (* K K) 1/23040) 1/192) (* K K)) 1/4) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* -2 J)) (* -1/4 (* U (/ U J))) (* U (/ U J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K))) (/ (* J J) (* U U)) (/ (* U U) (* J J)) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

simplify174.0ms (2.3%)

Memory

-19.8MiB live, 218.4MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	865	7890
1	2579	7740
0	8395	7328

Stop Event

1×	iter limit
1×	node limit

Counts

190 → 190

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 (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))))
#s(approx (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) 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 (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) #s(hole binary64 U))
#s(approx (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) #s(hole binary64 (+ U (* 2 (/ (pow J 2) U)))))
#s(approx (+ (* -2 (/ (* J J) (* U U))) -1) #s(hole binary64 -1))
#s(approx (+ (* -2 (/ (* J J) (* U U))) -1) #s(hole binary64 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (* -1 U)))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J 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 (/ (* U U) (* J 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 (/ (* U U) (* J J))) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J 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 (/ (* U U) (* J 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 (/ (* U U) (* J J))) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* 1/4 (/ (* U U) (* J J))) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (* (+ (* (- (* (* K K) 1/23040) 1/192) (* K K)) 1/4) J) #s(hole binary64 (* J (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (+ (* (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (* K K)) (* -2 J)) #s(hole binary64 (* J (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2))))
#s(approx (* -1/4 (* U (/ U J))) #s(hole binary64 (* -1/4 (/ (pow U 2) J))))
#s(approx (* U (/ U J)) #s(hole binary64 (/ (pow U 2) J)))
#s(approx (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K))) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))))
#s(approx (/ (* J J) (* U U)) #s(hole binary64 (/ (pow J 2) (pow U 2))))
#s(approx (/ (* U U) (* J J)) #s(hole binary64 (/ (pow U 2) (pow J 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 (/ (+ (* 1/2 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 (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 (* (* (* -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 (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) #s(hole binary64 (* -2 (* J (cos (* -1/2 K))))))
#s(approx (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) #s(hole binary64 (* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))))
#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 (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) #s(hole binary64 (* 2 (/ (pow J 2) U))))
#s(approx (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) #s(hole binary64 (* (pow J 2) (+ (* 2 (/ 1 U)) (/ U (pow J 2))))))
#s(approx (+ (* -2 (/ (* J J) (* U U))) -1) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (+ (* -2 (/ (* J J) (* U U))) -1) #s(hole binary64 (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (* -2 J)))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J 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 (/ (* U U) (* J 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 (/ (* U U) (* J J))) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J 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 (/ (* U U) (* J 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 (/ (* U U) (* J J))) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 (/ (* U U) (* J J))) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 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 (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 (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) #s(hole binary64 (* -1 (* J (+ (* 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 (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J 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 (/ (* U U) (* J 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))))))))))
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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 (- (+ (* -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 (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 U))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (* -2 J)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (sqrt (+ (* 1/4 (/ (* U U) (* J 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 (/ (* U U) (* J 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 (/ (* U U) (* J J))) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J 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 (/ (* U U) (* J 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)) #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)))
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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))))))))
#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))))))))))
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#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 (/ (* U U) (* J 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 (+ (* (/ 1/4 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 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) #s(literal -1/2 binary64)) (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 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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)) (pow.f64 U #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 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 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (neg.f64 U)))

rewrite102.0ms (1.4%)

Memory

41.3MiB live, 132.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	579
0	113	579
1	386	521
0	2666	515

Stop Event

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

Counts

26 → 273

Calls

Call 1

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

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (-.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (-.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)))
(fma.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)))
(fma.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -2 binary64) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) (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 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(-.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(-.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(-.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (*.f64 J #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (-.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (-.f64 (.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
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(-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (neg.f64 (.f64 K K)) #s(approx (+ ( (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K)) #s(literal 3 binary64)) (fma.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K))) (pow.f64 (.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K)) #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 #s(approx (+ ( (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K))) (pow.f64 (.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (*.f64 K K)) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx (+ ( (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K)) (.f64 (neg.f64 J) #s(literal 2 binary64)))
(+.f64 (.f64 #s(approx (+ ( (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K)) (.f64 J #s(literal -2 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (*.f64 K K)))
(.f64 (.f64 #s(literal -1/4 binary64) (/.f64 U J)) U)
(.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U J))
(.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64))
(.f64 (/.f64 U J) (.f64 #s(literal -1/4 binary64) U))
(.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) U))
(.f64 U (.f64 (/.f64 U J) #s(literal -1/4 binary64)))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) (neg.f64 U)) (neg.f64 J))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) U) U) J)
(/.f64 (.f64 (.f64 (neg.f64 U) U) #s(literal -1/4 binary64)) (neg.f64 J))
(/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J)
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (neg.f64 U) U)) (neg.f64 J))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
(neg.f64 (.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)))
(.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (/.f64 U J) U) (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (.f64 (/.f64 U J) U) #s(literal 1/4 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 U J)) U) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))
(/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 U J)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(neg.f64 (/.f64 (.f64 (.f64 (/.f64 U J) U) #s(literal 1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (/.f64 U J)) U) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))
(neg.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 (neg.f64 J) (fabs.f64 U)) (/.f64 (neg.f64 J) (fabs.f64 U)))
(*.f64 (/.f64 (neg.f64 J) U) (/.f64 (neg.f64 J) U))
(*.f64 (/.f64 (fabs.f64 J) (fabs.f64 U)) (/.f64 (fabs.f64 J) (fabs.f64 U)))
(*.f64 (/.f64 (fabs.f64 J) (neg.f64 U)) (/.f64 (fabs.f64 J) (neg.f64 U)))
(*.f64 (/.f64 (fabs.f64 J) U) (/.f64 (fabs.f64 J) U))
(*.f64 (/.f64 J (fabs.f64 U)) (/.f64 J (fabs.f64 U)))
(*.f64 (/.f64 J (neg.f64 U)) (/.f64 J (neg.f64 U)))
(*.f64 (neg.f64 (/.f64 J U)) (neg.f64 (/.f64 J U)))
(*.f64 (fabs.f64 (/.f64 J U)) (fabs.f64 (/.f64 J U)))
(*.f64 (/.f64 (/.f64 J U) U) J)
(*.f64 (/.f64 J U) (/.f64 J U))
(.f64 (neg.f64 J) (/.f64 (neg.f64 J) (.f64 U U)))
(.f64 (fabs.f64 J) (/.f64 (fabs.f64 J) (.f64 U U)))
(*.f64 J (/.f64 (/.f64 J U) U))
(pow.f64 (/.f64 J U) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 J U) J) U)
(/.f64 (/.f64 (*.f64 J J) (fabs.f64 U)) (fabs.f64 U))
(/.f64 (/.f64 (*.f64 J J) (neg.f64 U)) (neg.f64 U))
(/.f64 (neg.f64 (*.f64 J (/.f64 J U))) (neg.f64 U))
(/.f64 (*.f64 J (/.f64 J U)) U)
(/.f64 (.f64 (neg.f64 J) J) (.f64 (neg.f64 U) U))
(/.f64 (.f64 J J) (.f64 U U))
(neg.f64 (/.f64 (.f64 (neg.f64 J) J) (.f64 U U)))
(neg.f64 (/.f64 (.f64 J J) (.f64 (neg.f64 U) U)))
(*.f64 (/.f64 (fabs.f64 U) (neg.f64 J)) (/.f64 (fabs.f64 U) (neg.f64 J)))
(*.f64 (/.f64 (fabs.f64 U) (fabs.f64 J)) (/.f64 (fabs.f64 U) (fabs.f64 J)))
(*.f64 (/.f64 (fabs.f64 U) J) (/.f64 (fabs.f64 U) J))
(*.f64 (/.f64 (neg.f64 U) (fabs.f64 J)) (/.f64 (neg.f64 U) (fabs.f64 J)))
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 (neg.f64 U) J))
(*.f64 (/.f64 U (neg.f64 J)) (/.f64 U (neg.f64 J)))
(*.f64 (/.f64 U (fabs.f64 J)) (/.f64 U (fabs.f64 J)))
(*.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 U J)))
(*.f64 (fabs.f64 (/.f64 U J)) (fabs.f64 (/.f64 U J)))
(*.f64 (/.f64 (/.f64 U J) J) U)
(.f64 (fabs.f64 U) (/.f64 (fabs.f64 U) (.f64 J J)))
(.f64 (neg.f64 U) (/.f64 (neg.f64 U) (.f64 J J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(*.f64 U (/.f64 (/.f64 U J) J))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 U) (/.f64 U J)) (neg.f64 J))
(/.f64 (*.f64 (/.f64 U J) (neg.f64 U)) (neg.f64 J))
(/.f64 (/.f64 (*.f64 U U) (neg.f64 J)) (neg.f64 J))
(/.f64 (/.f64 (*.f64 U U) (fabs.f64 J)) (fabs.f64 J))
(/.f64 (neg.f64 (*.f64 (/.f64 U J) U)) (neg.f64 J))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (neg.f64 J) J))
(/.f64 (*.f64 (/.f64 U J) U) J)
(/.f64 (.f64 U U) (.f64 J J))
(neg.f64 (/.f64 (.f64 (neg.f64 U) U) (.f64 J J)))
(neg.f64 (/.f64 (.f64 U U) (.f64 (neg.f64 J) J)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))

eval84.0ms (1.1%)

Memory: -21.0MiB live, 125.9MiB allocated; 28ms collecting garbage
Compiler: Compiled 28 034 to 2 137 computations (92.4% saved)

prune42.0ms (0.6%)

Memory

-13.7MiB live, 78.6MiB allocated; 7ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	430	11	441
Fresh	6	6	12
Picked	3	2	5
Done	0	4	4
Total	439	23	462

Accuracy

99.9%

Counts

462 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
	25.4%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/23040 binary64)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	30.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (.f64 #s(approx (+ ( (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
✓	43.7%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J) #s(literal 1 binary64)))))
	34.9%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
	48.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.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 #s(literal -1/4 binary64) (.f64 U (/.f64 U J))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	48.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 (/.f64 U J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	47.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J) #s(approx (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K))) (.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64)))))
	47.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
✓	31.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
✓	44.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	25.2%	#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)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (fma.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 U J) U) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
	27.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
	25.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
	23.1%	#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)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (.f64 (fma.f64 (/.f64 (.f64 J #s(literal -2 binary64)) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 (/.f64 #s(literal -1/4 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (*.f64 U U))))
	43.8%	#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))))
	11.8%	#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)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 J) (/.f64 (neg.f64 J) (*.f64 U U))) #s(literal -1 binary64)) (neg.f64 U))))
	2.3%	#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)) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U))) (neg.f64 U))))
✓	27.0%	#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)))
	2.3%	#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 (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)))))
	4.8%	#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)) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (-.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal -2 binary64) U)) (*.f64 J J)))))
	11.6%	#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)) #s(approx (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (*.f64 J J) #s(literal 1 binary64)) U))))
✓	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 3 600 to 1 100 computations (69.4% saved)

regimes82.0ms (1.1%)

Memory

32.6MiB live, 82.9MiB allocated; 9ms collecting garbage

Counts

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

Outputs

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

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

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

Calls

6 calls:

21.0ms	J
12.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	U
12.0ms	K
11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
68.5%	1	`(/.f64 K #s(literal 2 binary64))`
68.5%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
99.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
80.5%	2	`J`
68.5%	1	`K`
79.3%	2	`U`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes15.0ms (0.2%)

Memory

-20.1MiB live, 25.9MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
88.1%	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)

regimes10.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
88.1%	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)

regimes25.0ms (0.3%)

Memory

-29.6MiB live, 14.8MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

1 calls:

22.0ms

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

Results

Accuracy	Segments	Branch
88.0%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

30 → 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)))) #s(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (/.f64 (.f64 J J) U) #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)) (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)) (fma.f64 (.f64 U (/.f64 U 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)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #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 (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) #s(approx (* (+ (* -2 (/ (* J J) (* U U))) -1) (neg U)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (*.f64 J J) #s(literal 1 binary64)) 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 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) (*.f64 U 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(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 (neg.f64 J) (/.f64 (neg.f64 J) (*.f64 U 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(approx (* (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (* -2 J)) (.f64 #s(approx (- ( (/ -2 U) (/ (* J J) U)) 1) (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) (/.f64 J U))) (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)) #s(approx (* (- (* (/ -2 U) (/ (* J J) U)) 1) (neg U)) (.f64 (-.f64 (/.f64 U (.f64 J J)) (/.f64 #s(literal -2 binary64) U)) (*.f64 J 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)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (.f64 J J) U)) J)) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.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)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/23040 binary64)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (cos (* -1/2 K)) (* -2 J)) (/ (* -1/4 (* U (/ U J))) (cos (* -1/2 K)))) (fma.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (/.f64 U J) U) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (.f64 #s(approx (+ ( (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/23040 binary64) (.f64 K K)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 #s(approx (+ (* (* (+ (* 1/23040 (* (* K K) J)) (* -1/192 J)) K) K) (* 1/4 J)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/23040 binary64)) #s(literal 1/192 binary64)) (.f64 K K) #s(literal 1/4 binary64)) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#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 #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)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) U) (/.f64 U J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (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)))) 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
87.9%	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)

regimes36.0ms (0.5%)

Memory

-7.0MiB live, 36.5MiB allocated; 4ms collecting garbage

Counts

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

Outputs

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

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

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

3 calls:

20.0ms

7.0ms

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

Results

Accuracy	Segments	Branch
61.9%	2	`U`
61.3%	2	`J`
79.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes23.0ms (0.3%)

Memory

33.9MiB live, 33.9MiB allocated; 0ms collecting garbage

Counts

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

4 calls:

5.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	K
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
49.3%	3	`(/.f64 K #s(literal 2 binary64))`
49.3%	3	`K`
56.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
72.6%	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 32 to 31 computations (3.1% saved)

regimes20.0ms (0.3%)

Memory

-50.3MiB live, 6.3MiB allocated; 5ms collecting garbage

Counts

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

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

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
71.6%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
66.9%	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)

regimes5.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
66.8%	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)

regimes3.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
66.7%	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)

regimes6.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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	J
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
56.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
44.9%	1	`J`
44.9%	1	`U`
56.1%	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

11.5MiB live, 11.5MiB 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	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	K
1.0ms	J

Results

Accuracy	Segments	Branch
12.6%	1	`J`
12.6%	1	`U`
12.6%	1	`(/.f64 K #s(literal 2 binary64))`
12.6%	1	`K`
12.6%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
12.6%	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

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.0760941115644665e+304	+inf
0.0ms	-inf	-7.703806084761775e+307

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	3.0760941115644665e+304	+inf
0.0ms	-4.325509266763407e+155	-2.148139362696679e+155
0.0ms	-4.390648571889048e+223	-1.9872050441355978e+222
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.0760941115644665e+304	+inf
0.0ms	-4.325509266763407e+155	-2.148139362696679e+155
0.0ms	-4.390648571889048e+223	-1.9872050441355978e+222
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.0760941115644665e+304	+inf
0.0ms	-3.4308036777454027e-242	-4.085788343415646e-252
0.0ms	-4.390648571889048e+223	-1.9872050441355978e+222
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	3.0760941115644665e+304	+inf
0.0ms	-3.4308036777454027e-242	-4.085788343415646e-252
0.0ms	-4.390648571889048e+223	-1.9872050441355978e+222
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

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	-4.085788343415646e-252	2.5229486901966397e-221
0.0ms	-inf	-7.703806084761775e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.085788343415646e-252	2.5229486901966397e-221
0.0ms	-4.325509266763407e+155	-2.148139362696679e+155
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

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	-4.085788343415646e-252	2.5229486901966397e-221
0.0ms	-4.0706156346799714e-150	-2.1097353002769323e-161
0.0ms	-4.325509266763407e+155	-2.148139362696679e+155
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch6.0ms (0.1%)

Memory

-40.1MiB live, 4.9MiB allocated; 3ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.085788343415646e-252	2.5229486901966397e-221
0.0ms	-1.630783899645705e+79	-6.98279680389708e+76
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.085788343415646e-252	2.5229486901966397e-221
0.0ms	-1.630783899645705e+79	-6.98279680389708e+76
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.085788343415646e-252	2.5229486901966397e-221
0.0ms	-1.630783899645705e+79	-6.98279680389708e+76
0.0ms	-7.703806084761775e+307	-1.120231376268298e+307

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	-4.085788343415646e-252	2.5229486901966397e-221

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify74.0ms (1%)

Memory

18.6MiB live, 62.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	2778
1	207	2778
2	375	2778
3	918	2778
4	3646	2778

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 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) #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)

derivations580.0ms (7.8%)

Memory

-16.5MiB live, 608.5MiB allocated; 76ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 778 to 158 computations (94.3% saved)

preprocess322.0ms (4.3%)

Memory: 38.8MiB live, 354.8MiB allocated; 97ms collecting garbage
Remove: (abs K)
Compiler: Compiled 7 014 to 860 computations (87.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze446.0ms (6%)

sample1.7s (22.7%)

explain288.0ms (3.9%)

preprocess253.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify124.0ms (1.7%)

localize74.0ms (1%)

series59.0ms (0.8%)

simplify195.0ms (2.6%)

rewrite61.0ms (0.8%)

eval23.0ms (0.3%)

prune9.0ms (0.1%)

simplify157.0ms (2.1%)

localize130.0ms (1.8%)

series37.0ms (0.5%)

simplify169.0ms (2.3%)

rewrite58.0ms (0.8%)

eval62.0ms (0.8%)

prune47.0ms (0.6%)

simplify839.0ms (11.3%)

localize154.0ms (2.1%)

series101.0ms (1.4%)

simplify183.0ms (2.5%)

rewrite97.0ms (1.3%)

eval55.0ms (0.7%)

prune39.0ms (0.5%)

simplify197.0ms (2.6%)

localize184.0ms (2.5%)

series76.0ms (1%)

simplify174.0ms (2.3%)

rewrite102.0ms (1.4%)

eval84.0ms (1.1%)

prune42.0ms (0.6%)

regimes82.0ms (1.1%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes25.0ms (0.3%)

regimes9.0ms (0.1%)

regimes36.0ms (0.5%)

regimes23.0ms (0.3%)

regimes20.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify74.0ms (1%)

derivations580.0ms (7.8%)

preprocess322.0ms (4.3%)

end0.0ms (0%)

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