Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze309.0ms (3.5%)

Memory

-5.6MiB live, 416.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.8s (19.7%)

Memory

-126.6MiB live, 2 145.3MiB allocated

Samples

1.3s

8 256×

valid

Precisions

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

ival-mult: 467.0ms (46.5% of total)

ival-cos: 194.0ms (19.3% of total)

ival-div: 118.0ms (11.7% of total)

ival-pow2: 79.0ms (7.9% of total)

ival-sqrt: 66.0ms (6.6% of total)

ival-add: 58.0ms (5.8% of total)

exact: 12.0ms (1.2% of total)

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

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

Bogosity

explain299.0ms (3.3%)

Memory

11.5MiB live, 389.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
47	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))))`
25	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	136	(-3.057297320232813e+283 -6.697458256653149e+187 -1.4534933771746987e-219)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) J)`
0	0	-	-	`U`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`
0	0	-	-	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`
0	0	-	-	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`
0	0	-	-	`J`
0	0	-	-	`(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) J)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	136	0
`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	47	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	25
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	25
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`	overflow	72
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	72
`*.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**	25	0

Confusion

	Predicted +	Predicted -
+	72	0
-	96	88

Precision

0.42857142857142855

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	96	0	88

Precision?

0.42857142857142855

Recall?

1.0

Freqs

test

number	freq
0	88
1	128
2	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 358 to 72 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 18.0ms (31.3% of total)

ival-cos: 14.0ms (24.3% of total)

ival-div: 8.0ms (13.9% of total)

ival-sqrt: 7.0ms (12.2% of total)

ival-pow2: 6.0ms (10.4% of total)

ival-add: 3.0ms (5.2% of total)

ival-true: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

preprocess107.0ms (1.2%)

Memory

-20.9MiB live, 100.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	228
1	182	216
2	603	216
3	2240	216
4	4213	216
5	6564	216
0	17	24
0	28	24
1	44	24
2	87	24
3	211	24
4	609	24
5	1121	24
6	1532	24
7	1595	24
8	1612	24
9	1623	24
10	1625	24
11	1625	24
12	1625	24
0	1625	24

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(*.f64 (*.f64 (*.f64 (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
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

73.2%

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify43.0ms (0.5%)

Memory

6.4MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1%)

Memory

-9.5MiB live, 73.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy	0.27572250976844204	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	5.9913187728934725	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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	10.99652958660725	(sqrt.f64 (+.f64 #s(literal 1 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

81.0ms

256×

valid

Compiler

Compiled 222 to 36 computations (83.8% saved)

Precisions

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

ival-cos: 31.0ms (45.1% of total)

ival-mult: 26.0ms (37.9% of total)

ival-pow2: 5.0ms (7.3% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory

29.9MiB live, 102.9MiB allocated

Counts

7 → 65

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

Outputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
8.0ms	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) (/ U (* (* 2 J) (cos (/ K 2)))))
6.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 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) (/ U (* (* 2 J) (cos (/ K 2)))))
4.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))

simplify221.0ms (2.5%)

Memory

-13.1MiB live, 266.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	389	2612
1	1271	2494
2	5093	2348
0	8570	2206

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.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 (/.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))
(+ (* -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))))))))
(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))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J J) U) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 J) J) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64)))) #s(literal 2 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J J) U) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (/.f64 (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (.f64 J J)) (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 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))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ 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)))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(.f64 (neg.f64 J) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(.f64 (neg.f64 J) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))) #s(literal -2 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)))))))))))))
(.f64 #s(literal -2 binary64) (fma.f64 (.f64 K K) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) J) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J))) (.f64 (.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) (.f64 K K)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) J) (.f64 (.f64 (.f64 K K) (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 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))))))))))))))))
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(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (.f64 J (fma.f64 (.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) (.f64 K K) (.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(fma.f64 J (fma.f64 #s(literal 1/4 binary64) (.f64 K K) #s(literal -2 binary64)) (.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 J (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64)))))
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(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))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 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)))))))))
(fma.f64 (.f64 (.f64 K K) (.f64 (/.f64 #s(literal 1/32 binary64) J) (/.f64 (.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(+ (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)))))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 (/.f64 #s(literal 1/32 binary64) J) (/.f64 (.f64 U U) J)))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 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)))))))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/32 binary64) J) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (/.f64 (.f64 U U) J)) (.f64 (.f64 (.f64 K K) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 (/.f64 U J) (/.f64 U J))) (.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -17/2880 binary64)) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 U #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))))))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)) (.f64 K K)) K) K (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 K K) #s(literal -1/4 binary64)) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -17/2880 binary64)) (.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)))))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(.f64 (/.f64 U J) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(fma.f64 (fma.f64 (.f64 (.f64 (/.f64 U J) #s(literal 5/768 binary64)) K) K (.f64 (/.f64 U J) #s(literal 1/16 binary64))) (.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(fma.f64 (/.f64 U J) (fma.f64 (.f64 K K) #s(literal 1/16 binary64) #s(literal 1/2 binary64)) (.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 U J) #s(literal -61/46080 binary64))) (.f64 K K) (.f64 (/.f64 U J) #s(literal 5/768 binary64)))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/64 binary64) U) (pow.f64 J #s(literal 3 binary64))) (/.f64 U (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+ (* -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))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+ 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)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 U (/.f64 U (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 U U) #s(literal 1 binary64))
(+ 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)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) U) (pow.f64 J #s(literal 6 binary64))) (/.f64 U (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 U #s(literal 4 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
(* 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))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))) U)
(* 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))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)))) U)
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
(* 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)))))
(.f64 (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U)
(* 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))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (neg.f64 (pow.f64 U #s(literal 4 binary64)))) (pow.f64 J #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U)
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
(* -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)))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U))
(* -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)))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U))
(* -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))))))
(.f64 (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 U))
(* -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)))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (neg.f64 (pow.f64 U #s(literal 4 binary64)))) (pow.f64 J #s(literal 3 binary64)) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (neg.f64 U))

rewrite143.0ms (1.6%)

Memory

6.5MiB live, 201.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	28	76
1	79	76
2	432	76
3	4372	76
0	8150	76

Stop Event

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

Counts

7 → 403

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

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

eval85.0ms (1%)

Memory: 5.6MiB live, 129.0MiB allocated
Compiler: Compiled 16 194 to 2 387 computations (85.3% saved)

prune16.0ms (0.2%)

Memory

5.5MiB live, 42.6MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	466	10	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	10	477

Accuracy

99.9%

Counts

477 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	73.1%	(.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 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
	65.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
▶	53.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	51.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	51.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
	13.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
▶	37.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
	43.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
▶	37.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 770 to 532 computations (30.9% saved)

simplify134.0ms (1.5%)

Memory

-0.8MiB live, 121.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U 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 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff	0	(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U)))
cost-diff	0	(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
cost-diff	896	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(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	(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 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	443
0	82	443
1	137	443
2	309	443
3	761	443
4	1836	443
5	4328	439
6	7581	439
0	8191	437

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

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

localize260.0ms (2.9%)

Memory

-17.0MiB live, 185.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy	0.11063253162065376	(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy	7.762021510180961	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
accuracy	28.881807186311878	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
accuracy	0.265625	(*.f64 (/.f64 J U) (/.f64 J U))
accuracy	0.27181625976844204	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	4.027880146941278	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
accuracy	39.90991897752085	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.1171875	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	5.9913187728934725	(.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(literal 1 binary64)))
accuracy	29.38915777312578	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 U)
accuracy	40.282875006560886	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.15234375	(.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
accuracy	0.2832413086106521	(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))
accuracy	5.9913187728934725	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
accuracy	10.99652958660725	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))))

Samples

199.0ms

256×

valid

Compiler

Compiled 843 to 103 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 83.0ms (48.3% of total)

ival-cos: 45.0ms (26.2% of total)

ival-div: 26.0ms (15.1% of total)

ival-pow2: 5.0ms (2.9% of total)

ival-add: 4.0ms (2.3% of total)

ival-sqrt: 3.0ms (1.7% of total)

ival-pow: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

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

series156.0ms (1.8%)

Memory

-21.4MiB live, 97.8MiB allocated

Counts

22 → 141

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

Outputs
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/ (pow J 2) (pow U 2))
(* -1/4 (/ (pow U 2) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(+ (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U)))))
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U)))))))
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
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(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2)))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 2 (/ J U))
(+ (* -1/4 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/192 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/23040 (/ (* J (pow K 2)) U)) (* 1/192 (/ J U)))))))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(cos (* 1/2 K))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* 1/2 K)) 2)
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
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(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
41.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (cos (* 1/2 K)) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K))))
36.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (cos (* 1/2 K)) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K))))
12.0ms	J	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (cos (* 1/2 K)) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K))))
10.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (cos (* 1/2 K)) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K))))
8.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -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 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (cos (* 1/2 K)) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K))))

simplify238.0ms (2.7%)

Memory

31.1MiB live, 182.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	717	5096
1	2346	4944
0	8545	4682

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 140

Calls

Call 1

Inputs
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/ (pow J 2) (pow U 2))
(* -1/4 (/ (pow U 2) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(+ (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U)))))
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U)))))))
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2)))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 2 (/ J U))
(+ (* -1/4 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/192 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/23040 (/ (* J (pow K 2)) U)) (* 1/192 (/ J U)))))))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(cos (* 1/2 K))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* 1/2 K)) 2)
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

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

rewrite223.0ms (2.5%)

Memory

11.0MiB live, 169.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	343
0	82	333
1	258	325
2	1606	325
0	8807	318

Stop Event

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

Counts

22 → 763

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

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

eval351.0ms (3.9%)

Memory: -22.6MiB live, 256.4MiB allocated
Compiler: Compiled 43 156 to 4 307 computations (90% saved)

prune123.0ms (1.4%)

Memory

30.4MiB live, 144.7MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	921	20	941
Fresh	1	4	5
Picked	4	1	5
Done	0	0	0
Total	926	25	951

Accuracy

100.0%

Counts

951 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.4%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.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(literal 1 binary64)))
	53.9%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	39.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	39.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	65.5%	(.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 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
	65.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	25.9%	(.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))) #s(literal 1 binary64)))
	25.9%	(.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))) #s(literal 1 binary64)))
▶	73.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	25.9%	(.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))) #s(literal 1 binary64)))
	25.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	54.8%	#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) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
▶	20.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	51.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
	13.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
▶	37.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
▶	28.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
	43.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
✓	37.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	27.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	25.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	32.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
	4.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	25.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
	13.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))

Compiler

Compiled 2 183 to 1 465 computations (32.9% saved)

simplify187.0ms (2.1%)

Memory

-5.6MiB live, 154.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
cost-diff	384	(/.f64 K #s(literal 2 binary64))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff	320	(fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff	640	(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))
cost-diff	896	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
cost-diff	0	(.f64 #s(approx (pow (cos ( 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U)))
cost-diff	0	(fma.f64 (.f64 #s(approx (pow (cos ( 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
cost-diff	896	(.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 U U))
cost-diff	192	(+.f64 #s(literal 0 binary64) U)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
cost-diff	0	(fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	619
0	113	592
1	198	578
2	427	567
3	1182	567
4	2948	550
0	8561	547

Stop Event

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

Calls

Call 1

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

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

localize323.0ms (3.6%)

Memory

-22.9MiB live, 223.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2832413086106521	(pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64))
accuracy	5.9913187728934725	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
accuracy	10.99652958660725	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64))))
accuracy	25.741268378382273	#s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64)))
accuracy	0.265625	(*.f64 (/.f64 J U) (/.f64 J U))
accuracy	0.4660628615969804	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
accuracy	4.027880146941278	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
accuracy	39.90991897752085	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
accuracy	0.265625	(*.f64 (/.f64 J U) (/.f64 J U))
accuracy	4.027880146941278	(.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
accuracy	34.016245019697244	#s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	39.90991897752085	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
accuracy	0.0	(+.f64 #s(literal 0 binary64) U)
accuracy	0.0	(*.f64 U U)
accuracy	29.97759421043681	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
accuracy	40.282875006560886	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
accuracy	0.15234375	(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
accuracy	0.2832413086106521	(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
accuracy	5.967506805873117	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
accuracy	10.99652958660725	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))

Samples

218.0ms

256×

valid

Compiler

Compiled 1 130 to 145 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 110.0ms (57.5% of total)

ival-cos: 45.0ms (23.5% of total)

ival-div: 9.0ms (4.7% of total)

ival-add: 9.0ms (4.7% of total)

ival-pow: 6.0ms (3.1% of total)

ival-sqrt: 5.0ms (2.6% of total)

ival-pow2: 5.0ms (2.6% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series118.0ms (1.3%)

Memory

19.8MiB live, 94.8MiB allocated

Counts

29 → 185

Calls

Call 1

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

Outputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(* -1 (/ U (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) U)) (* -1 (/ U (cos (* -1/2 K)))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))))))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (pow J 2)) (pow J 2))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) (* -1 U))
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* J (cos (* -1/2 K))) U)
(/ (pow J 2) (pow U 2))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
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(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
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(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
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(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/16 (* (/ (* (pow K 2) (pow U 2)) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(+ (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U)))))
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U)))))))
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2)))
K
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* 1/2 K)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(/ (pow U 2) (pow J 2))
(+ (* 1/4 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))))) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(/ J U)
(+ (* -1/8 (/ (* J (pow K 2)) U)) (/ J U))
(+ (* (pow K 2) (+ (* -1/8 (/ J U)) (* 1/384 (/ (* J (pow K 2)) U)))) (/ J U))
(+ (* (pow K 2) (+ (* -1/8 (/ J U)) (* (pow K 2) (+ (* -1/46080 (/ (* J (pow K 2)) U)) (* 1/384 (/ J U)))))) (/ J U))
(* 2 (/ J U))
(+ (* -1/4 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/192 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/23040 (/ (* J (pow K 2)) U)) (* 1/192 (/ J U)))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1))
(+ 1/2 (* 1/2 (cos K)))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(pow (cos (* 1/2 K)) 2)
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(+ (* -2 J) (* -1/4 (/ (pow U 2) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))) (* 1/4 (/ 1 (* J (pow (cos (* -1/2 K)) 2)))))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))) (* 1/4 (/ 1 (* J (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
U
(* -1 (pow U 2))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
(pow U 2)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (/ 1 (cos (* -1/2 K)))))
(* U (- (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* -1/2 K)))))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* -1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (/ 1 (pow U 2))))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1)))
(/ U (cos (* -1/2 K)))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (/ 1 (cos (* -1/2 K))))))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* -1/2 K))))))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* -1/2 K))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	J	@	-inf	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) U) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))
20.0ms	U	@	-inf	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) U) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))
17.0ms	U	@	inf	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) U) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))
7.0ms	K	@	-inf	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) U) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))
7.0ms	K	@	inf	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) U) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))

simplify285.0ms (3.2%)

Memory

6.0MiB live, 210.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	831	6580
1	2699	6370
0	8826	6032

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 183

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(* -1 (/ U (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) U)) (* -1 (/ U (cos (* -1/2 K)))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))))))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (pow J 2)) (pow J 2))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(+ (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U)) (* -1 U))
(- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1)
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (* J (cos (* -1/2 K))) U)
(/ (pow J 2) (pow U 2))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* (pow J 2) (+ (* -2 (/ (+ 1/2 (* 1/2 (cos K))) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (+ 1/2 (* 1/2 (cos K))) (pow U 2))) (/ 1 (pow J 2))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
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(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
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(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
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(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(+ (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U)))))
(+ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U)))))))
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2)))
K
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* 1/2 K)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(/ (pow U 2) (pow J 2))
(+ (* 1/4 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))))) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(/ J U)
(+ (* -1/8 (/ (* J (pow K 2)) U)) (/ J U))
(+ (* (pow K 2) (+ (* -1/8 (/ J U)) (* 1/384 (/ (* J (pow K 2)) U)))) (/ J U))
(+ (* (pow K 2) (+ (* -1/8 (/ J U)) (* (pow K 2) (+ (* -1/46080 (/ (* J (pow K 2)) U)) (* 1/384 (/ J U)))))) (/ J U))
(* 2 (/ J U))
(+ (* -1/4 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/192 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/23040 (/ (* J (pow K 2)) U)) (* 1/192 (/ J U)))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (* -2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))) 1))
(+ 1/2 (* 1/2 (cos K)))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(pow (cos (* 1/2 K)) 2)
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
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(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))) (* 1/4 (/ 1 (* J (pow (cos (* -1/2 K)) 2)))))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))) (* 1/4 (/ 1 (* J (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
U
(* -1 (pow U 2))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
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(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))) (* -1 (pow U 2))) (pow U 2))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
(pow U 2)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (/ 1 (cos (* -1/2 K)))))
(* U (- (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* -1/2 K)))))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* -1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (/ 1 (pow U 2))))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1)))
(/ U (cos (* -1/2 K)))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (/ 1 (cos (* -1/2 K))))))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* -1/2 K))))))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* -1/2 K))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) (pow U 2))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))

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

rewrite259.0ms (2.9%)

Memory

3.7MiB live, 200.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	488
0	113	453
1	370	435
2	2547	429
0	8575	423

Stop Event

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

Counts

29 → 800

Calls

Call 1

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

Outputs
(.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)) #s(literal -2 binary64))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (.f64 K #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J))
(.f64 J (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))))
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(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 U) U) #s(literal 0 binary64))
(fma.f64 (*.f64 U U) (pow.f64 (/.f64 U U) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 U U) #s(literal 0 binary64))
(fma.f64 U U #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 U U)) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (neg.f64 U) U)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (neg.f64 U) U))
(-.f64 (.f64 U U) (/.f64 #s(literal 0 binary64) (.f64 U U)))
(-.f64 (*.f64 U U) (/.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 4 binary64))))
(-.f64 (*.f64 U U) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 U) U))
(exp.f64 (*.f64 (log.f64 (pow.f64 U #s(literal -1 binary64))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(+.f64 (*.f64 U U) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 U U))
#s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (/.f64 J U))) (exp.f64 (log.f64 (/.f64 J U))))
(*.f64 (pow.f64 (/.f64 J (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 U #s(literal 4 binary64)))
(.f64 (pow.f64 (/.f64 (neg.f64 J) (.f64 U U)) #s(literal 2 binary64)) (*.f64 U U))
(.f64 (/.f64 (.f64 (/.f64 J U) J) (pow.f64 U #s(literal 3 binary64))) (*.f64 U U))
(.f64 (/.f64 (neg.f64 (.f64 (/.f64 J U) J)) (*.f64 U U)) (neg.f64 U))
(*.f64 (/.f64 (neg.f64 J) U) (/.f64 (neg.f64 J) U))
(.f64 (pow.f64 U #s(literal -2 binary64)) (.f64 J J))
(.f64 (.f64 (/.f64 J U) J) (pow.f64 U #s(literal -1 binary64)))
(.f64 (.f64 J J) (pow.f64 (/.f64 #s(literal -1 binary64) U) #s(literal 2 binary64)))
(.f64 (.f64 J J) (pow.f64 U #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)))
(*.f64 (/.f64 J U) (/.f64 J U))
(*.f64 J (/.f64 (/.f64 J U) U))
(.f64 J (/.f64 J (.f64 U U)))
(.f64 J (pow.f64 (.f64 U (/.f64 U J)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 J U))) #s(literal 2 binary64))
(pow.f64 (/.f64 U (*.f64 (/.f64 J U) J)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1 binary64))
(pow.f64 (/.f64 U J) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 J U) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 J U) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 J) (/.f64 J U))) U)
(/.f64 (neg.f64 (*.f64 (/.f64 J U) (neg.f64 J))) U)
(/.f64 (neg.f64 (*.f64 (/.f64 J U) #s(literal 1 binary64))) (neg.f64 (/.f64 U J)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 J U) J))) U)
(/.f64 (neg.f64 (neg.f64 (.f64 J J))) (.f64 U U))
(/.f64 (neg.f64 (.f64 (neg.f64 J) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 U) (/.f64 U J))))
(/.f64 (neg.f64 (.f64 (neg.f64 J) J)) (.f64 U U))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 J))) (neg.f64 (.f64 (/.f64 U J) (neg.f64 U))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) J)) (neg.f64 (.f64 (/.f64 U J) U)))
(/.f64 (neg.f64 (.f64 J (neg.f64 J))) (.f64 U U))
(/.f64 (neg.f64 (.f64 J #s(literal 1 binary64))) (neg.f64 (.f64 U (/.f64 U J))))
(/.f64 (neg.f64 (/.f64 J U)) (neg.f64 (/.f64 U J)))
(/.f64 (*.f64 (neg.f64 J) (/.f64 J U)) (neg.f64 U))
(/.f64 (*.f64 (/.f64 J U) (neg.f64 J)) (neg.f64 U))
(/.f64 (*.f64 (/.f64 J U) #s(literal 1 binary64)) (/.f64 U J))
(/.f64 (neg.f64 (*.f64 (/.f64 J U) J)) (neg.f64 U))
(/.f64 (neg.f64 (.f64 J J)) (.f64 (neg.f64 U) U))
(/.f64 (.f64 (neg.f64 J) #s(literal 1 binary64)) (.f64 (neg.f64 U) (/.f64 U J)))
(/.f64 (.f64 (neg.f64 J) J) (.f64 (neg.f64 U) U))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 J)) (.f64 (/.f64 U J) (neg.f64 U)))
(/.f64 (.f64 #s(literal 1 binary64) J) (.f64 (/.f64 U J) U))
(/.f64 (.f64 J (neg.f64 J)) (.f64 (neg.f64 U) U))
(/.f64 (.f64 J #s(literal 1 binary64)) (.f64 U (/.f64 U J)))
(/.f64 (*.f64 (/.f64 J U) J) U)
(/.f64 (.f64 J J) (.f64 U U))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 (/.f64 J U) J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 U U) (.f64 J J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (/.f64 J U) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 J J)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)))
(/.f64 (/.f64 J U) (/.f64 U J))
(exp.f64 (*.f64 (log.f64 (/.f64 J U)) #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 J U)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))
(exp.f64 (log.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))
(.f64 (pow.f64 (+.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (+.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -4 binary64))) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))) (+.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -6 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (+.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -1 binary64))) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -1 binary64)) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))))
(pow.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (.f64 #s(literal 2 binary64) (/.f64 J U)))) #s(literal -1 binary64) (.f64 (log.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (* (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 #s(literal 2 binary64) (/.f64 J U)))) #s(literal -2 binary64)))

eval220.0ms (2.5%)

Memory: -19.9MiB live, 293.2MiB allocated
Compiler: Compiled 53 260 to 4 845 computations (90.9% saved)

prune54.0ms (0.6%)

Memory

3.5MiB live, 127.8MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1 028	11	1 039
Fresh	3	16	19
Picked	3	2	5
Done	0	1	1
Total	1 034	30	1 064

Accuracy

100.0%

Counts

1 064 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.4%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.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(literal 1 binary64)))
▶	39.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	39.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	65.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	25.9%	(.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))) #s(literal 1 binary64)))
	25.9%	(.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))) #s(literal 1 binary64)))
✓	73.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	55.8%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
▶	65.5%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
	25.9%	(.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))) #s(literal 1 binary64)))
	35.9%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
	25.8%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	14.0%	(.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	54.8%	#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) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
▶	20.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
	37.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
	51.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
	37.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
	37.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 K) #s(literal 1 binary64)))))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
▶	25.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
✓	28.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
	20.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
	43.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
✓	37.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	27.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	25.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	32.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
	4.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶	25.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
	53.9%	#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))

Compiler

Compiled 2 463 to 1 660 computations (32.6% saved)

simplify164.0ms (1.8%)

Memory

10.4MiB live, 198.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff	7104	(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
cost-diff	0	#s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
cost-diff	896	(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) U)
cost-diff	1344	(fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (*.f64 J J) U) #s(literal -1/24 binary64)))
cost-diff	0	#s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
cost-diff	384	(.f64 #s(approx (pow (cos ( 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U)))
cost-diff	896	(.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
cost-diff	0	(neg.f64 U)
cost-diff	0	(*.f64 (neg.f64 U) U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
cost-diff	1024	(/.f64 (*.f64 (neg.f64 U) U) U)
cost-diff	0	(fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	786
0	127	779
1	235	771
2	552	751
3	1594	713
4	4214	707
5	7047	707
0	8494	695

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 (/.f64 U J) J) U)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 (/.f64 U J) J) U)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 (/.f64 U J) J) U)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))
(fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 (/.f64 U J) J) U)) #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1/4 binary64)
#s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 (/.f64 U J) J) U))
(*.f64 (/.f64 U J) (/.f64 U J))
(*.f64 (/.f64 (/.f64 U J) J) U)
(/.f64 U J)
U
J
#s(literal 1 binary64)
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(/.f64 (*.f64 (neg.f64 U) U) U)
(neg.f64 U)
(*.f64 (neg.f64 U) U)
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) (neg.f64 U)))
(.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
(fma.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) (neg.f64 U))
(fma.f64 (.f64 #s(approx (pow (cos ( 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 (/.f64 #s(literal -2 binary64) U) #s(approx (pow (cos ( 1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64)))) (.f64 (/.f64 J U) J) #s(literal -1 binary64))
(.f64 #s(approx (pow (cos ( 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U)))
(.f64 (/.f64 #s(approx (pow (cos ( 1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 U U)) (*.f64 J J))
#s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/4 binary64)
#s(literal 1 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 -2 binary64)
#s(literal -1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (pow.f64 K #s(literal 3 binary64)) (.f64 (.f64 (.f64 (/.f64 J U) J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))) K) (fma.f64 (.f64 (/.f64 J U) J) (fma.f64 (.f64 K K) #s(literal 1/2 binary64) #s(literal -2 binary64)) (neg.f64 U)))))
#s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U)))
#s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (pow.f64 K #s(literal 3 binary64)) (.f64 (.f64 (.f64 (/.f64 J U) J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))) K) (fma.f64 (.f64 (/.f64 J U) J) (fma.f64 (.f64 K K) #s(literal 1/2 binary64) #s(literal -2 binary64)) (neg.f64 U))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))
(fma.f64 (pow.f64 K #s(literal 3 binary64)) (.f64 (.f64 (.f64 (/.f64 J U) J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))) K) (fma.f64 (.f64 (/.f64 J U) J) (fma.f64 (.f64 K K) #s(literal 1/2 binary64) #s(literal -2 binary64)) (neg.f64 U)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (/.f64 J U) J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K)
(.f64 (.f64 (.f64 (/.f64 J U) J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))) K)
(fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (*.f64 J J) U) #s(literal -1/24 binary64)))
(.f64 (.f64 (/.f64 J U) J) (fma.f64 (*.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64)))
#s(literal 1/720 binary64)
(/.f64 (.f64 (.f64 (*.f64 K K) J) J) U)
(.f64 (.f64 (*.f64 K K) J) J)
(.f64 (.f64 K K) J)
(*.f64 K K)
K
J
U
(.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))
(.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))
(/.f64 (*.f64 J J) U)
(*.f64 (/.f64 J U) J)
(*.f64 J J)
#s(literal -1/24 binary64)
(.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) U)
(fma.f64 (*.f64 (/.f64 J U) J) #s(literal -2 binary64) (neg.f64 U))
(fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 (/.f64 J U) J) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) U)
#s(literal -2 binary64)
#s(literal -1 binary64)
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (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 -1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(sqrt.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)

localize263.0ms (2.9%)

Memory

2.9MiB live, 366.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))
accuracy	0.162441259768442	(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
accuracy	4.304510662690392	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	21.90263338947906	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	6.628848349899611	(/.f64 (*.f64 J J) U)
accuracy	9.691352581585354	(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))
accuracy	16.338821568323898	#s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U)))
accuracy	23.54234661739661	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
accuracy	2.368499755079098	(.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
accuracy	12.10674184047113	(/.f64 (.f64 J J) (.f64 U U))
accuracy	17.661317191467493	#s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	23.54234661739661	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
accuracy	0.0	(*.f64 (neg.f64 U) U)
accuracy	0.0	(neg.f64 U)
accuracy	22.243338370006917	(/.f64 (*.f64 (neg.f64 U) U) U)
accuracy	24.008999802673276	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
accuracy	0.23894501953688405	(*.f64 (/.f64 U J) (/.f64 U J))
accuracy	4.29651484785913	(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64)))
accuracy	7.272997520838036	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64)))
accuracy	7.713908963620249	#s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (*.f64 (/.f64 U J) (/.f64 U J)))

Samples

123.0ms	190×	0	valid
43.0ms	66×	0	invalid

Compiler

Compiled 1 372 to 169 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 50.0ms (40.3% of total)

ival-cos: 20.0ms (16.1% of total)

ival-div: 16.0ms (12.9% of total)

ival-add: 14.0ms (11.3% of total)

const: 7.0ms (5.6% of total)

ival-pow2: 7.0ms (5.6% of total)

ival-sqrt: 5.0ms (4% of total)

ival-pow: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series73.0ms (0.8%)

Memory

20.1MiB live, 133.7MiB allocated

Counts

26 → 193

Calls

Call 1

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

Outputs
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(* -1 (/ U (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) U)) (* -1 (/ U (cos (* -1/2 K)))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))))))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (pow J 2)) (pow J 2))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* (pow J 2) (- (* 1/720 (/ (pow K 2) U)) (* 1/24 (/ 1 U))))
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
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(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 J)
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (pow U 2) (pow J 2))
(/ (pow J 2) (pow U 2))
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(/ (pow J 2) U)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
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(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (pow J 2) U))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* (pow J 2) (- (* (pow K 2) (+ (* (pow K 2) (- (* 1/720 (/ (pow K 2) U)) (* 1/24 (/ 1 U)))) (* 1/2 (/ 1 U)))) (* 2 (/ 1 U))))
(* (pow J 2) (- (+ (* -1 (/ U (pow J 2))) (* (pow K 2) (+ (* (pow K 2) (- (* 1/720 (/ (pow K 2) U)) (* 1/24 (/ 1 U)))) (* 1/2 (/ 1 U))))) (* 2 (/ 1 U))))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/16 (* (/ (* (pow K 2) (pow U 2)) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
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(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(+ (* 1/2 (/ (* (pow J 2) (pow K 2)) U)) (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
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(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ (* 1/4 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (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))))))))) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* -1/4 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(pow (cos (* 1/2 K)) 2)
(* 1/720 (/ (* (pow J 2) (pow K 2)) U))
(* (pow K 2) (+ (* -1/24 (/ (pow J 2) (* (pow K 2) U))) (* 1/720 (/ (pow J 2) U))))
(cos (* -1/2 K))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* 1/720 (/ (* (pow J 2) (pow K 6)) U))
(* (pow K 6) (+ (* -1/24 (/ (pow J 2) (* (pow K 2) U))) (* 1/720 (/ (pow J 2) U))))
(* (pow K 6) (+ (* -1/24 (/ (pow J 2) (* (pow K 2) U))) (+ (* 1/720 (/ (pow J 2) U)) (* 1/2 (/ (pow J 2) (* (pow K 4) U))))))
(* (pow K 6) (+ (* -1/24 (/ (pow J 2) (* (pow K 2) U))) (+ (* 1/720 (/ (pow J 2) U)) (+ (* 1/2 (/ (pow J 2) (* (pow K 4) U))) (/ (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)) (pow K 6))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* -1/2 K))))))))
(+ (* -2 J) (* -1/4 (/ (pow U 2) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))) (* 1/4 (/ 1 (* J (pow (cos (* -1/2 K)) 2)))))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))) (* 1/4 (/ 1 (* J (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(/ (+ (* -2 (pow J 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))))))) U)
(/ (+ (* -2 (pow J 2)) (+ (* -1 (pow U 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2))))))))) U)
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (/ 1 (cos (* -1/2 K)))))
(* U (- (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* -1/2 K)))))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* -1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (/ 1 (pow U 2))))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (/ (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2))))))) (pow U 2))) 1))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1)))
(/ U (cos (* -1/2 K)))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (/ 1 (cos (* -1/2 K))))))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* -1/2 K))))))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4))))) (/ 1 (cos (* -1/2 K))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (/ (+ (* -1/720 (* (pow J 2) (pow K 2))) (* 1/24 (pow J 2))) U))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(* -1 (* U (+ 1 (+ (* 2 (/ (pow J 2) (pow U 2))) (/ (* (pow K 2) (+ (* -1/2 (pow J 2)) (* (pow K 2) (+ (* -1/720 (* (pow J 2) (pow K 2))) (* 1/24 (pow J 2)))))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	K	@	inf	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (pow (sqrt (cos (* -1/2 K))) 2) (* (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ U J) (/ U J)) (/ (* J J) (* U U)) (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
11.0ms	J	@	inf	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (pow (sqrt (cos (* -1/2 K))) 2) (* (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ U J) (/ U J)) (/ (* J J) (* U U)) (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
10.0ms	U	@	inf	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (pow (sqrt (cos (* -1/2 K))) 2) (* (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ U J) (/ U J)) (/ (* J J) (* U U)) (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
8.0ms	J	@	0	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (pow (sqrt (cos (* -1/2 K))) 2) (* (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ U J) (/ U J)) (/ (* J J) (* U U)) (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
7.0ms	U	@	0	((* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1) (/ (* (neg U) U) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (neg U) U) (neg U) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) -2) -1) U) (* (pow (cos (* 1/2 K)) 2) (/ (* J J) (* U U))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (pow (sqrt (cos (* -1/2 K))) 2) (* (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (* -2 J) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ U J) (/ U J)) (/ (* J J) (* U U)) (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/ (* J J) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

simplify208.0ms (2.3%)

Memory

1.4MiB live, 227.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	916	7040
1	2956	6838
0	8357	6482

Stop Event

1×	iter limit
1×	node limit

Counts

193 → 192

Calls

Call 1

Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(* -1 (/ U (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) U)) (* -1 (/ U (cos (* -1/2 K)))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))))))))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (pow J 2)) (pow J 2))
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* (pow J 2) (- (* 1/720 (/ (pow K 2) U)) (* 1/24 (/ 1 U))))
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(* -2 (* J (cos (* -1/2 K))))
(* -2 J)
(/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))
(/ (pow U 2) (pow J 2))
(/ (pow J 2) (pow U 2))
(+ (* -1 U) (* (pow J 2) (- (* (pow K 2) (+ (* (pow K 2) (- (* 1/720 (/ (pow K 2) U)) (* 1/24 (/ 1 U)))) (* 1/2 (/ 1 U)))) (* 2 (/ 1 U)))))
(/ (pow J 2) U)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3))))))))
(* J (- (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* -2 (/ (pow J 2) U))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* (pow J 2) (- (* (pow K 2) (+ (* (pow K 2) (- (* 1/720 (/ (pow K 2) U)) (* 1/24 (/ 1 U)))) (* 1/2 (/ 1 U)))) (* 2 (/ 1 U))))
(* (pow J 2) (- (+ (* -1 (/ U (pow J 2))) (* (pow K 2) (+ (* (pow K 2) (- (* 1/720 (/ (pow K 2) U)) (* 1/24 (/ 1 U)))) (* 1/2 (/ 1 U))))) (* 2 (/ 1 U))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1/16 (* (/ (* (pow K 2) (pow U 2)) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/16 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* -1 (* (* J (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* -1 (* (* 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)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
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(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
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(+ (* 1/4 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))
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(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))) (* 1/4 (/ 1 (* J (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 (pow U 2))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(/ (+ (* -2 (pow J 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))))))) U)
(/ (+ (* -2 (pow J 2)) (+ (* -1 (pow U 2)) (* (pow K 2) (+ (* 1/2 (pow J 2)) (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2))))))))) U)
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1))
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(* U (- (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* -1/2 K)))))
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(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
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(* 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))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (pow U 4))))) 1)))
(/ U (cos (* -1/2 K)))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (/ 1 (cos (* -1/2 K))))))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 3)) (pow U 4)))) (/ 1 (cos (* -1/2 K))))))
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(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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(* -1 (/ (+ (* -1/720 (* (pow J 2) (pow K 2))) (* 1/24 (pow J 2))) U))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
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(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(* -1 (* U (+ 1 (+ (* 2 (/ (pow J 2) (pow U 2))) (/ (* (pow K 2) (+ (* -1/2 (pow J 2)) (* (pow K 2) (+ (* -1/720 (* (pow J 2) (pow K 2))) (* 1/24 (pow J 2)))))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J)) U) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* -1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #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 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -1 (/ U (cos (* -1/2 K))))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(+ (* -2 (/ (* (pow J 2) (cos (* -1/2 K))) U)) (* -1 (/ U (cos (* -1/2 K)))))
(fma.f64 (/.f64 (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) U) #s(literal -2 binary64) (/.f64 (neg.f64 U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(+ (* -1 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* -1/2 K)) U)) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))))))
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(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(* -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)))
(.f64 (fma.f64 (.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 2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) #s(literal -1 binary64))) (neg.f64 U))
(* -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)))
(.f64 (fma.f64 (.f64 (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)))) #s(literal -4 binary64) (fma.f64 (.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 2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) #s(literal -1 binary64)))) (neg.f64 U))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (/ (+ (* -1/720 (* (pow J 2) (pow K 2))) (* 1/24 (pow J 2))) U))
(/.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal 1/24 binary64) (*.f64 J J))) (neg.f64 U))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (.f64 J J) U) #s(literal 1 binary64)) (neg.f64 U))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U) (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (neg.f64 U))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (neg.f64 U))
(* -1 (* U (+ 1 (+ (* 2 (/ (pow J 2) (pow U 2))) (/ (* (pow K 2) (+ (* -1/2 (pow J 2)) (* (pow K 2) (+ (* -1/720 (* (pow J 2) (pow K 2))) (* 1/24 (pow J 2)))))) (pow U 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (.f64 J J) U) (fma.f64 (.f64 K K) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal 1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal -1/2 binary64))) (.f64 U U)) #s(literal 1 binary64))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 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))
(* -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))))))
(.f64 (-.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))) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (neg.f64 U))
(* -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)))))))
(.f64 (fma.f64 (neg.f64 (pow.f64 J #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (.f64 (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)))) #s(literal 2 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))

rewrite208.0ms (2.3%)

Memory

-1.5MiB live, 325.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	590
0	127	559
1	423	535
2	2833	533
0	8897	527

Stop Event

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

Counts

26 → 605

Calls

Call 1

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

Outputs
(.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)) #s(literal -2 binary64))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (sqrt.f64 (fma.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) J)
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) J))
(.f64 J (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (pow.f64 (fma.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (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 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (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 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (fma.f64 #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1/4 binary64))
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(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) K) K (.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(fma.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) (.f64 K K)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) (.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(fma.f64 K (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) K) (.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(fma.f64 U (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) (.f64 K K)))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 K #s(literal 4 binary64))) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) (.f64 K K)) (.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U))) (/.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) (.f64 K K)) (.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U))))
(+.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) (.f64 K K)) (*.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(+.f64 (.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) U) (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) U) #s(literal 1/720 binary64) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 J U) J))) K) K (.f64 (.f64 (/.f64 J U) J) #s(literal 1/2 binary64))) (*.f64 K K)))
(*.f64 (pow.f64 U #s(literal -1 binary64)) (pow.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 U #s(literal -1 binary64)) (.f64 J J))
(.f64 (.f64 (neg.f64 J) J) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))
(.f64 (.f64 J J) (pow.f64 U #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 J U) J))
(*.f64 (/.f64 J U) J)
(*.f64 J (/.f64 J U))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) J) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 U J) J) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 J) J) #s(literal -1 binary64))) (neg.f64 U))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 J) J))) (neg.f64 (neg.f64 (neg.f64 U))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) J)) (neg.f64 (/.f64 U J)))
(/.f64 (neg.f64 (*.f64 J #s(literal 1 binary64))) (neg.f64 (/.f64 U J)))
(/.f64 (neg.f64 (.f64 (.f64 J J) #s(literal 1 binary64))) (neg.f64 U))
(/.f64 (/.f64 (*.f64 (neg.f64 J) J) #s(literal -1 binary64)) U)
(/.f64 (neg.f64 (*.f64 (neg.f64 J) J)) (neg.f64 (neg.f64 U)))
(/.f64 (*.f64 #s(literal 1 binary64) J) (/.f64 U J))
(/.f64 (*.f64 J #s(literal 1 binary64)) (/.f64 U J))
(/.f64 (.f64 (.f64 J J) #s(literal 1 binary64)) U)
(/.f64 (neg.f64 J) (neg.f64 (/.f64 U J)))
(/.f64 (*.f64 (neg.f64 J) J) (neg.f64 U))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 U J) J) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 U J) J)))
(/.f64 (*.f64 J J) U)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 U J) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) J) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) J))
(/.f64 J (/.f64 U J))
(neg.f64 (/.f64 (*.f64 (neg.f64 J) J) U))
(neg.f64 (/.f64 (*.f64 J J) (neg.f64 U)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U J) J)) #s(literal -1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))

eval129.0ms (1.4%)

Memory: 16.2MiB live, 254.0MiB allocated
Compiler: Compiled 62 837 to 4 570 computations (92.7% saved)

prune75.0ms (0.8%)

Memory

-27.4MiB live, 143.7MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	812	12	824
Fresh	7	15	22
Picked	1	4	5
Done	0	3	3
Total	820	34	854

Accuracy

100.0%

Counts

854 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.4%	(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.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(literal 1 binary64)))
	39.8%	(.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (sqrt.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	39.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	39.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	65.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
	25.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
	25.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
✓	73.1%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	55.8%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	52.8%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	64.4%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 #s(literal 1 binary64) (/.f64 J (.f64 (/.f64 U J) U)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
✓	65.5%	(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
	25.9%	(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	25.8%	(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	35.9%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
	14.0%	(.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
	54.8%	#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) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
✓	20.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
	37.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
	51.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
	37.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
	37.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 K) #s(literal 1 binary64)))))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
✓	25.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
✓	28.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
	20.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
	43.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
	53.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
✓	37.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	27.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	25.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	32.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
	4.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	2.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) #s(approx ( (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))))
	2.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))

Compiler

Compiled 3 845 to 1 419 computations (63.1% saved)

regimes100.0ms (1.1%)

Memory

-17.1MiB live, 178.3MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #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 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 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 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U 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 (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) #s(approx ( (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 #s(literal 1 binary64) (/.f64 J (.f64 (/.f64 U J) U)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (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)))) (fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (sqrt.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #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 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) #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 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 K) #s(literal 1 binary64)))))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.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(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

6 calls:

17.0ms	(/.f64 K #s(literal 2 binary64))
17.0ms	U
16.0ms	K
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms	J

Results

Accuracy	Segments	Branch
80.2%	2	`J`
73.2%	1	`K`
79.2%	2	`U`
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
73.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
73.2%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes17.0ms (0.2%)

Memory

32.4MiB live, 32.4MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #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 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 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 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U 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 (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) #s(approx ( (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 #s(literal 1 binary64) (/.f64 J (.f64 (/.f64 U J) U)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (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)))) (fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (sqrt.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #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 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) #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 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 K) #s(literal 1 binary64)))))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.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(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))

Outputs

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

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes17.0ms (0.2%)

Memory

-7.4MiB live, 31.0MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #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 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 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 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U 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 (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) #s(approx ( (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 #s(literal 1 binary64) (/.f64 J (.f64 (/.f64 U J) U)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (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)))) (fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) (sqrt.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))))) #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 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 U (.f64 J J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (exp.f64 (log.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64)))))) #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 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (exp.f64 (.f64 (log.f64 K) #s(literal 1 binary64)))))) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))

Outputs

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

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
92.5%	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 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

Memory

-18.8MiB live, 23.9MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #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 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 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 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U 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 (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) #s(approx ( (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 #s(literal 1 binary64) (/.f64 J (.f64 (/.f64 U J) U)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))

Outputs

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

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
92.5%	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 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #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 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 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 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U 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 (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) #s(approx ( (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 #s(literal 1 binary64) (/.f64 J (.f64 (/.f64 U J) U)))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
83.9%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes30.0ms (0.3%)

Memory

0.7MiB live, 78.9MiB allocated

Counts

30 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #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 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 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 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U 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 (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) #s(approx ( (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal -2 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))

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

Calls

3 calls:

10.0ms

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

10.0ms

9.0ms

Results

Accuracy	Segments	Branch
70.7%	3	`U`
71.3%	3	`J`
80.3%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes11.0ms (0.1%)

Memory

-19.3MiB live, 19.6MiB allocated

Counts

28 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #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 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 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 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U 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 (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) #s(approx ( (+ (* (/ -2 U) (/ (* J J) U)) -1) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (.f64 (.f64 (.f64 K K) J) J) U) (.f64 (/.f64 (.f64 J J) U) #s(literal -1/24 binary64))) K) K (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (/.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J U)) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)) U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx ( (/ (* 2 J) U) (cos (* K -1/2))) (*.f64 (/.f64 J U) #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 (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
77.9%	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)

regimes39.0ms (0.4%)

Memory

-7.5MiB live, 72.7MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 U U) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
(.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))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (pow (sqrt (cos ( -1/2 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))) #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 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 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 (fma.f64 (.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 #s(approx ( (* -2 J) (pow (sqrt (cos (* -1/2 K))) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) (.f64 K K) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (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)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U 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 (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) #s(approx (+ (* (+ (* (* (+ (* 1/720 (/ (* (* (* K K) J) J) U)) (* (/ (* J J) U) -1/24)) K) K) (* (/ (* J J) U) 1/2)) (* K K)) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) U)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (.f64 J J)) (.f64 K K) (.f64 #s(literal -1/24 binary64) (.f64 J J))) (.f64 K K) (.f64 (.f64 J J) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (*.f64 J J) #s(literal -2 binary64))) U))))

Outputs

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

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

Calls

6 calls:

8.0ms	K
6.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	J
6.0ms	U
6.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
55.5%	2	`U`
52.8%	2	`J`
47.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
47.6%	2	`K`
47.6%	2	`(/.f64 K #s(literal 2 binary64))`
61.4%	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 34 to 37 computations (-8.8% saved)

regimes14.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

Calls

3 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)))))

4.0ms

Results

Accuracy	Segments	Branch
46.8%	2	`J`
48.4%	2	`U`
47.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes15.0ms (0.2%)

Memory

-8.3MiB live, 31.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

4.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	U
3.0ms	J
3.0ms	K
3.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
46.5%	2	`J`
37.1%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
42.8%	3	`K`
42.8%	3	`(/.f64 K #s(literal 2 binary64))`
46.5%	2	`U`

Compiler

Compiled 10 to 20 computations (-100% saved)

regimes24.0ms (0.3%)

Memory

-16.2MiB live, 23.2MiB allocated

Accuracy

Total -10.8b remaining (-26.9%)

Threshold costs -10.8b (-26.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	K
2.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
2.0ms	U
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	J

Results

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

Compiler

Compiled 30 to 31 computations (-3.3% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.628442582322126e+286	+inf
0.0ms	-3.580152264013627e+306	-2.261053331156479e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.628442582322126e+286	+inf
0.0ms	-inf	-3.580152264013627e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.628442582322126e+286	+inf
0.0ms	-3.580152264013627e+306	-2.261053331156479e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.628442582322126e+286	+inf
0.0ms	-3.580152264013627e+306	-2.261053331156479e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.580152264013627e+306	-2.261053331156479e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	-4.95366923586993e-286	3.5521039099921015e-218
0.0ms	-8.359390849362972e-101	-4.018918824019101e-101
0.0ms	-6.63785847797215e+171	-4.4085798304659926e+169
0.0ms	-3.580152264013627e+306	-2.261053331156479e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-4.95366923586993e-286	3.5521039099921015e-218
0.0ms	-8.649790110848994e+193	-5.009236868375431e+177
0.0ms	-3.580152264013627e+306	-2.261053331156479e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-3.580152264013627e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch38.0ms (0.4%)

Memory

-17.6MiB live, 25.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	25583706698606043000.0	9.805539065676154e+19

Samples

9.0ms

80×

valid

Compiler

Compiled 447 to 303 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (29% of total)

ival-cos: 2.0ms (29% of total)

ival-div: 1.0ms (14.5% of total)

ival-sqrt: 1.0ms (14.5% of total)

ival-pow2: 1.0ms (14.5% of total)

ival-add: 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)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	25583706698606043000.0	9.805539065676154e+19

Compiler

Compiled 347 to 258 computations (25.6% saved)

simplify88.0ms (1%)

Memory

15.2MiB live, 54.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1378
1	204	1378
2	331	1378
3	594	1378
4	1048	1378
5	1558	1378
6	1989	1378
7	2512	1378
8	5585	1378

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 -3000000000000000207573217972609349772147381681042729921006305775197262443620228459370940407889196423155659470697259020785811807379137536497437534260383826695615682285010740093571421074207653466584702160366711413834975643933981704745288650696677382771458355094357396235031833438424889841895614904118007562240 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 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) (.f64 #s(approx ( (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(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 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 #s(approx (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(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 -3000000000000000207573217972609349772147381681042729921006305775197262443620228459370940407889196423155659470697259020785811807379137536497437534260383826695615682285010740093571421074207653466584702160366711413834975643933981704745288650696677382771458355094357396235031833438424889841895614904118007562240 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 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 #s(approx (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(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 -3000000000000000207573217972609349772147381681042729921006305775197262443620228459370940407889196423155659470697259020785811807379137536497437534260383826695615682285010740093571421074207653466584702160366711413834975643933981704745288650696677382771458355094357396235031833438424889841895614904118007562240 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 100000000000000007525217352494018719361427080482583638519254439706352434301546571002539107639662119923939220917551527141401041968172205589677021287693862203915638886974287199071604654071266769099226071211897966340736882502910990345434353553680702253338428636675464684849307718019341877248 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow ( (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(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 -3000000000000000207573217972609349772147381681042729921006305775197262443620228459370940407889196423155659470697259020785811807379137536497437534260383826695615682285010740093571421074207653466584702160366711413834975643933981704745288650696677382771458355094357396235031833438424889841895614904118007562240 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (.f64 (/.f64 U J) (/.f64 U J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(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 -3000000000000000207573217972609349772147381681042729921006305775197262443620228459370940407889196423155659470697259020785811807379137536497437534260383826695615682285010740093571421074207653466584702160366711413834975643933981704745288650696677382771458355094357396235031833438424889841895614904118007562240 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 -5000000000000000413435814285529011838218138482576117668163267154416335697155678364686365832061086948358596321261632844174465033417199886349737788590053275114539444839907328 binary64)) #s(approx ( (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -492525077454931/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) #s(approx (pow (* (/ J U) (cos (* -1/2 K))) -2) (/.f64 (.f64 U U) (.f64 J J))) #s(literal 1 binary64))) (.f64 J #s(literal -2 binary64))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (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 -8572068857490139/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))) #s(approx ( (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -3000000000000000207573217972609349772147381681042729921006305775197262443620228459370940407889196423155659470697259020785811807379137536497437534260383826695615682285010740093571421074207653466584702160366711413834975643933981704745288650696677382771458355094357396235031833438424889841895614904118007562240 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 -49999999999999997232983719377348085383163937955059118574485557558927175806589067034309688554228252203002264044843207354769281374744888310588557501864837324040189736276713711952231354300402499584 binary64)) #s(approx ( (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -2 binary64) J))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -8572068857490139/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))) #s(approx ( (* (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (* J -2)) (cos (* -1/2 K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))))
(if (<=.f64 U #s(literal 27000000000000000000 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* 1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* 1/2 K)))) (fma.f64 (/.f64 (.f64 U 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)))) (neg.f64 U)))
(if (<=.f64 U #s(literal 27000000000000000000 binary64)) (.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 K K)) J (.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)))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

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

soundness1.1s (12.8%)

Memory

-11.5MiB live, 864.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	590
0	127	559
1	423	535
2	2833	533
0	8897	527
0	53	343
0	82	333
1	258	325
2	1606	325
0	8807	318
0	831	6580
1	2699	6370
0	8826	6032
0	389	2612
1	1271	2494
2	5093	2348
0	8570	2206
0	17	76
0	28	76
1	79	76
2	432	76
3	4372	76
0	8150	76
0	717	5096
1	2346	4944
0	8545	4682

Stop Event

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

Compiler

Compiled 2 466 to 770 computations (68.8% saved)

preprocess185.0ms (2.1%)

Memory: 20.1MiB live, 254.5MiB allocated
Remove: (abs K)
Compiler: Compiled 4 164 to 914 computations (78% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze309.0ms (3.5%)

sample1.8s (19.7%)

explain299.0ms (3.3%)

preprocess107.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify43.0ms (0.5%)

localize92.0ms (1%)

series48.0ms (0.5%)

simplify221.0ms (2.5%)

rewrite143.0ms (1.6%)

eval85.0ms (1%)

prune16.0ms (0.2%)

simplify134.0ms (1.5%)

localize260.0ms (2.9%)

series156.0ms (1.8%)

simplify238.0ms (2.7%)

rewrite223.0ms (2.5%)

eval351.0ms (3.9%)

prune123.0ms (1.4%)

simplify187.0ms (2.1%)

localize323.0ms (3.6%)

series118.0ms (1.3%)

simplify285.0ms (3.2%)

rewrite259.0ms (2.9%)

eval220.0ms (2.5%)

prune54.0ms (0.6%)

simplify164.0ms (1.8%)

localize263.0ms (2.9%)

series73.0ms (0.8%)

simplify208.0ms (2.3%)

rewrite208.0ms (2.3%)

eval129.0ms (1.4%)

prune75.0ms (0.8%)

regimes100.0ms (1.1%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes13.0ms (0.2%)

regimes11.0ms (0.1%)

regimes30.0ms (0.3%)

regimes11.0ms (0.1%)

regimes39.0ms (0.4%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes24.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch38.0ms (0.4%)

bsearch1.0ms (0%)

simplify88.0ms (1%)

soundness1.1s (12.8%)

preprocess185.0ms (2.1%)

end0.0ms (0%)

Profiling