Metrics for Maksimov and Kolovsky, Equation (3)

start2.0ms (0%)

Memory: -38.2MiB live, 0.1MiB allocated

analyze285.0ms (3.5%)

Memory

39.8MiB live, 399.9MiB 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)

sample1.7s (20.8%)

Memory

31.9MiB live, 2 041.9MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 950.0ms

ival-mult: 331.0ms (34.8% of total)

ival-cos: 261.0ms (27.5% of total)

ival-pow2: 113.0ms (11.9% of total)

ival-div: 109.0ms (11.5% of total)

ival-sqrt: 64.0ms (6.7% of total)

ival-add: 49.0ms (5.2% of total)

exact: 13.0ms (1.4% of total)

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

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

Bogosity

explain296.0ms (3.6%)

Memory

-35.9MiB live, 255.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
43	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))))`
33	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	124	(-2.5261101757827486e+262 -1.0653580696416013e+186 -1.8307693276538772e+153)	-	`(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	124	1
`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	43	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	33
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	33
↳	`(+.f64 #s(literal 1 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	76
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	76
`*.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**	33	0

Confusion

	Predicted +	Predicted -
+	76	0
-	83	97

Precision

0.4779874213836478

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	0
-	83	0	97

Precision?

0.4779874213836478

Recall?

1.0

Freqs

test

number	freq
0	97
1	118
2	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

100.0ms

512×

valid

Compiler

Compiled 358 to 72 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-div: 39.0ms (49.4% of total)

ival-mult: 15.0ms (19% of total)

ival-cos: 11.0ms (13.9% of total)

ival-pow2: 5.0ms (6.3% of total)

ival-sqrt: 4.0ms (5.1% of total)

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

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

exact: 1.0ms (1.3% of total)

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

preprocess122.0ms (1.5%)

Memory

-7.1MiB live, 70.1MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

71.9%

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

simplify53.0ms (0.6%)

Memory

7.3MiB live, 48.6MiB 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)

localize101.0ms (1.2%)

Memory

-10.8MiB live, 66.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.224941259768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	7.798011972057465	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 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	10.069646711572295	(sqrt.f64 (+.f64 #s(literal 1 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

61.0ms

256×

valid

Compiler

Compiled 222 to 36 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (33.6% of total)

ival-cos: 7.0ms (29.4% of total)

ival-div: 3.0ms (12.6% of total)

ival-sqrt: 2.0ms (8.4% of total)

ival-pow2: 2.0ms (8.4% of total)

ival-add: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

24.3MiB live, 62.3MiB allocated

Counts

6 → 61

Calls

Call 1

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

Outputs
(* -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))))))))))
(* -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
8.0ms	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))
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))
5.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms	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))

simplify291.0ms (3.6%)

Memory

-7.0MiB live, 227.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	2514
1	1153	2406
2	4564	2274
0	8545	2137

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

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))))))))))
(* -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 #s(literal 1/2 binary64) U) J) (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) (.f64 J J)) (/.f64 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 #s(literal -1/4 binary64) U) (.f64 J J)) (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.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 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) U) (.f64 J J)) (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.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)))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #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 (* 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) (.f64 J J)) (/.f64 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)
(* -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))))))))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (fma.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 -1/16 binary64) (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)))) J (fma.f64 (.f64 #s(literal 1/2 binary64) J) (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 #s(literal 1/12288 binary64) (/.f64 (.f64 U U) J)))) (.f64 (.f64 #s(literal -1/46080 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 (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)))))) #s(literal -2 binary64)) (.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) (* 1/4 (* J (pow K 2))))
(.f64 J (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #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 (pow.f64 K #s(literal 4 binary64)) (.f64 J (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64))) (.f64 J (fma.f64 (.f64 K K) #s(literal 1/4 binary64) #s(literal -2 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 (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))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 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))

rewrite278.0ms (3.4%)

Memory

-10.7MiB live, 190.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	28	66
1	79	66
2	432	66
3	4372	66
0	8150	66

Stop Event

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

Counts

6 → 306

Calls

Call 1

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

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

eval116.0ms (1.4%)

Memory: 17.2MiB live, 100.2MiB allocated
Compiler: Compiled 13 436 to 1 814 computations (86.5% saved)

prune41.0ms (0.5%)

Memory

-6.3MiB live, 33.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	367	8	375
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	368	8	376

Accuracy

100.0%

Counts

376 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.9%	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	63.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
▶	49.9%	(.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)))
▶	39.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
	13.2%	#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)))
▶	71.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.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)))
	47.9%	#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)))
▶	42.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 582 to 422 computations (27.5% saved)

simplify193.0ms (2.4%)

Memory

-3.5MiB live, 151.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	501
0	90	501
1	149	501
2	310	501
3	729	501
4	1621	501
5	3283	501
6	4654	501
7	6975	501
0	8101	501

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2.4%)

Memory

4.1MiB live, 243.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.221035009768442	(*.f64 (/.f64 U J) (/.f64 U J))
accuracy	0.240566259768442	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	7.799263474715929	(.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))
accuracy	10.069646711572295	(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)))
accuracy	0.125	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
accuracy	0.240566259768442	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	6.3210574643332516	(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))
accuracy	36.47952401337144	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.09375	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	7.798011972057465	(.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	31.95476240370793	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 U)
accuracy	36.82838322851506	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.09375	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J)
accuracy	0.224941259768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	7.798011972057465	(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	10.069646711572295	(sqrt.f64 (+.f64 #s(literal 1 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

142.0ms

256×

valid

Compiler

Compiled 957 to 104 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 33.0ms (35.7% of total)

ival-pow2: 22.0ms (23.8% of total)

ival-cos: 21.0ms (22.7% of total)

ival-div: 7.0ms (7.6% of total)

ival-add: 3.0ms (3.2% of total)

ival-sqrt: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series91.0ms (1.1%)

Memory

-8.2MiB live, 74.9MiB allocated

Counts

24 → 136

Calls

Call 1

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

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) (* (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))))
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(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (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) (* (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))))))))
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)
(* -1 (* U (+ 1/2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (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)))))))

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	K	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (/ (pow (cos (* 1/2 K)) 2) U) (* (/ U J) (/ U J)))
10.0ms	U	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (/ (pow (cos (* 1/2 K)) 2) U) (* (/ U J) (/ U J)))
10.0ms	U	@	inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (/ (pow (cos (* 1/2 K)) 2) U) (* (/ U J) (/ U J)))
6.0ms	J	@	-inf	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (/ (pow (cos (* 1/2 K)) 2) U) (* (/ U J) (/ U J)))
6.0ms	J	@	0	((* (* (* (cos (* K -1/2)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (cos (* K -1/2)) J) -2) (* (cos (* K -1/2)) J) (cos (* K -1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (/ (pow (cos (* 1/2 K)) 2) U) (* (/ U J) (/ U J)))

simplify225.0ms (2.8%)

Memory

36.3MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	5184
1	2103	5022
0	8086	4754

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 134

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) (* (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))))
(* J (cos (* -1/2 K)))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(* -2 (pow J 2))
(pow J 2)
(* 1/2 U)
(+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U))))
(+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 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)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/ (pow U 2) (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))))))
(* 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)))))
(* J (cos (* 1/2 K)))
(* J (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -1 (* 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))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
(* -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))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ 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)))
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (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))))))) U)
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))))
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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))))))))))
(+ 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 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(* -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))))))))
(cos (* 1/2 K))
(* (* 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)
(/ (pow (cos (* 1/2 K)) 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)))))))))
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(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
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(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* J (cos (* 1/2 K))))))))
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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)))))))
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(* 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 (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 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))
(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
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(/ (* 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))))))))
U
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(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -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))))))
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(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))
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(* -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)))
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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))))))
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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))
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(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) 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 J) (*.f64 U 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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)))) U)
(* U (+ 1/2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))
(.f64 (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)) #s(literal 1/2 binary64)) U)
(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(.f64 (fma.f64 (neg.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))) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64))) U)
(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(.f64 (+.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 2 binary64) (neg.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)))))) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)) #s(literal 1/2 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 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (-.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 (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 (neg.f64 U) (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 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 (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)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(.f64 (neg.f64 U) (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 3 binary64)) (/.f64 (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 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(* -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 (neg.f64 U) (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 5 binary64)) (/.f64 (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 (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 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 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -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 (neg.f64 U) (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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64))))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(.f64 (neg.f64 U) (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 J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal 2 binary64) #s(literal 1 binary64)))
(* -1/2 U)
(*.f64 #s(literal -1/2 binary64) U)
(* -1 (* U (+ 1/2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(.f64 (neg.f64 U) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)) #s(literal 1/2 binary64)))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (neg.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))) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))
(.f64 (neg.f64 U) (+.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (neg.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)))))) (fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U)) #s(literal 1/2 binary64))))
(* -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 (neg.f64 U) (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)))))
(* -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 (neg.f64 U) (-.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))))))
(* -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 (neg.f64 U) (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) (-.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)))))))

rewrite206.0ms (2.5%)

Memory

3.6MiB live, 160.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	364
0	90	354
1	241	354
2	1297	342
0	8487	342

Stop Event

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

Counts

24 → 584

Calls

Call 1

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

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

eval182.0ms (2.2%)

Memory: -11.8MiB live, 147.2MiB allocated
Compiler: Compiled 36 666 to 3 709 computations (89.9% saved)

prune35.0ms (0.4%)

Memory

16.7MiB live, 54.7MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	734	10	744
Fresh	2	1	3
Picked	4	1	5
Done	0	0	0
Total	740	12	752

Accuracy

100.0%

Counts

752 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))))) U) (neg.f64 U)))
	31.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* 1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
▶	39.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U)))
	24.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) U) U))
	24.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (neg.f64 U) U))))
▶	71.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 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)))
▶	47.9%	#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)))
	49.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64)))
▶	13.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64)))
✓	42.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	25.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
▶	39.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))

Compiler

Compiled 1 075 to 721 computations (32.9% saved)

simplify202.0ms (2.5%)

Memory

-19.1MiB live, 152.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
cost-diff	0	(.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))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
cost-diff	0	(*.f64 J J)
cost-diff	0	(.f64 (.f64 J J) #s(literal -2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U)))
cost-diff	0	(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
cost-diff	0	(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
cost-diff	0	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) U)
cost-diff	0	#s(approx (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (*.f64 #s(literal -1/2 binary64) U))
cost-diff	0	(.f64 #s(approx ( (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 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)))
cost-diff	128	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))))
cost-diff	320	(*.f64 K #s(literal 1 binary64))
cost-diff	768	(/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	636
0	109	614
1	193	614
2	416	609
3	920	609
4	2155	609
5	4373	609
6	6157	609
0	8332	594

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (2.8%)

Memory

-16.6MiB live, 221.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))
accuracy	7.774574472057465	(.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))
accuracy	10.077934907566766	(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
accuracy	20.10421394501558	#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)))
accuracy	0.01171875	(.f64 (.f64 J J) #s(literal -2 binary64))
accuracy	6.3210574643332516	(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U))
accuracy	25.563132135906244	#s(approx (/ (pow (cos (* 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U))
accuracy	36.47952401337144	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U)))
accuracy	0.01953125	(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
accuracy	5.868498744195779	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
accuracy	7.902982853030647	(/.f64 (*.f64 J J) U)
accuracy	36.47952401337144	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
accuracy	0.0	(.f64 #s(approx ( (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) U)
accuracy	0.0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64)))
accuracy	55.4442506335895	#s(approx (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (*.f64 #s(literal -1/2 binary64) U))
accuracy	0.221035009768442	(*.f64 (/.f64 U J) (/.f64 U J))
accuracy	0.2812173786806441	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))))
accuracy	7.799263474715929	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))
accuracy	10.069646711572295	(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) #s(literal 1/4 binary64) #s(literal 1 binary64)))

Samples

154.0ms

256×

valid

Compiler

Compiled 1 128 to 140 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult: 34.0ms (26.1% of total)

ival-div: 29.0ms (22.3% of total)

ival-pow2: 20.0ms (15.3% of total)

ival-sub: 16.0ms (12.3% of total)

ival-cos: 16.0ms (12.3% of total)

ival-add: 7.0ms (5.4% of total)

ival-sqrt: 7.0ms (5.4% 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)

series81.0ms (1%)

Memory

1.6MiB live, 78.6MiB allocated

Counts

25 → 165

Calls

Call 1

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

Outputs
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* 1/2 U)
(+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U))))
(+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U))))
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (pow J 2) U)) U)
(* -2 (/ (pow J 2) U))
(* -2 (pow J 2))
(pow J 2)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(* 1/4 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
(* 1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* 1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))
(+ (* 1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(+ (* 1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(/ (pow U 2) (pow J 2))
(/ (pow J 2) 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 (cos (* 1/2 K)))
(* J (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
(* -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)))))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (+ (cos (* 1/2 K)) (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/128 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/1024 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos 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)))
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)))
(* -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))))))))))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))) (* (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)))))))))))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))) (* (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)))))))) (* (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 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (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))))))) U)
(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 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ 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))))))))
(* (* 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) (+ 1/2 (* 1/2 (cos K))))))))
(* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(/ (pow (cos (* 1/2 K)) 2) U)
(+ (* -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))))))))
(+ (* 1/8 (/ (pow U 2) (* J (cos (* 1/2 K))))) (* J (cos (* 1/2 K))))
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1/2 U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))) (* J (cos (* 1/2 K))))
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/128 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* 1/8 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/128 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/1024 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(* 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 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))
(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* 1/2 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
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 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1/2 (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))) (+ (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(* -1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	K	@	0	((/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) (* K 1) (+ 1/2 (* 1/2 (cos (* K 1)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (+ (* (/ (* 1/4 U) J) (/ U J)) 1) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (/ U J) (/ U J)) (/ (* J J) U) (/ (pow (cos (* 1/2 K)) 2) U))
11.0ms	U	@	-inf	((/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) (* K 1) (+ 1/2 (* 1/2 (cos (* K 1)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (+ (* (/ (* 1/4 U) J) (/ U J)) 1) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (/ U J) (/ U J)) (/ (* J J) U) (/ (pow (cos (* 1/2 K)) 2) U))
8.0ms	U	@	0	((/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) (* K 1) (+ 1/2 (* 1/2 (cos (* K 1)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (+ (* (/ (* 1/4 U) J) (/ U J)) 1) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (/ U J) (/ U J)) (/ (* J J) U) (/ (pow (cos (* 1/2 K)) 2) U))
7.0ms	J	@	0	((/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) (* K 1) (+ 1/2 (* 1/2 (cos (* K 1)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (+ (* (/ (* 1/4 U) J) (/ U J)) 1) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (/ U J) (/ U J)) (/ (* J J) U) (/ (pow (cos (* 1/2 K)) 2) U))
7.0ms	U	@	inf	((/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) (* K 1) (+ 1/2 (* 1/2 (cos (* K 1)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* -1/2 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (+ (* (/ (* 1/4 U) J) (/ U J)) 1) (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (sqrt (+ (* (/ (* (/ U J) (/ U J)) (+ 1/2 (* 1/2 (cos (* K 1))))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (/ U J) (/ U J)) (/ (* J J) U) (/ (pow (cos (* 1/2 K)) 2) U))

simplify195.0ms (2.4%)

Memory

1.6MiB live, 192.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	6109
1	2495	5920
0	8380	5521

Stop Event

1×	iter limit
1×	node limit

Counts

165 → 163

Calls

Call 1

Inputs
(/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* 1/2 U)
(+ (* 1/2 U) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U))
(+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))) (/ (pow (cos (* 1/2 K)) 2) U))))
(+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))))) (/ (pow (cos (* 1/2 K)) 2) U))))
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)
(- (* -2 (/ (pow J 2) U)) U)
(* -2 (/ (pow J 2) U))
(* -2 (pow J 2))
(pow J 2)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(* 1/4 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
(* 1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* 1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))
(+ (* 1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(+ (* 1/2 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
(/ (pow U 2) (pow J 2))
(/ (pow J 2) 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 (cos (* 1/2 K)))
(* J (+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
(* -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)))))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* -2 J)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (+ (cos (* 1/2 K)) (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* J (+ (cos (* 1/2 K)) (+ (* -1/128 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/128 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -1 (* J (+ (* -1 (cos (* 1/2 K))) (+ (* -1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/1024 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos 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)))
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)))
(* -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))))))))))))))))
(* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))) (* (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)))))))))))))))
(+ (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 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)))))))) (* (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)))))))) (* (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))))))))))))))))))))
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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 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ 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))))))))
(* (* 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) (+ 1/2 (* 1/2 (cos K))))))))
(* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(/ (pow (cos (* 1/2 K)) 2) U)
(+ (* -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))))))))
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(* -1/2 U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* 1/8 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))) (* J (cos (* 1/2 K))))
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/128 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* J (cos (* 1/2 K))) (* (pow U 2) (+ (* 1/8 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/128 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/1024 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))))
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(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
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(* U (+ (* 1/2 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
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(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
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(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
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(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
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(* -1 (* U (+ (* -1 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))

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

rewrite195.0ms (2.4%)

Memory

18.2MiB live, 298.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	518
0	109	488
1	361	484
2	2413	474
0	8999	462

Stop Event

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

Counts

25 → 340

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (/.f64 U J) U)) #s(literal -1 binary64)) (pow.f64 J #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 U U)) #s(literal -1 binary64)) (pow.f64 J #s(literal -2 binary64)))
(.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))))
(.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (/.f64 U J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 U J))
(*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) (/.f64 (/.f64 U J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(.f64 U (.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 (/.f64 U J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (/.f64 U J) U) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) J)
(/.f64 (.f64 (.f64 U U) (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 J J))
(/.f64 (*.f64 (neg.f64 U) (/.f64 (/.f64 U J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 J))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 U J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 J U))
(/.f64 (*.f64 U (/.f64 (/.f64 U J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) J)
(/.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 U J) U) #s(literal 1 binary64)) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (neg.f64 U) (/.f64 U J)) (.f64 (neg.f64 J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (/.f64 U J) U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
(/.f64 (.f64 (/.f64 U J) U) (.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (neg.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)))
(/.f64 (.f64 U U) (.f64 (*.f64 J J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))))
(/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 U J) (*.f64 (/.f64 J U) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (neg.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) K)
(*.f64 K #s(literal 1 binary64))
K
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
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(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))) #s(literal -3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1/16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 U J) #s(literal -2 binary64))) #s(literal -3 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) J)
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 J (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (exp.f64 (log.f64 (/.f64 U J))) (exp.f64 (log.f64 (/.f64 U J))))
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 (neg.f64 U) J))
(.f64 (pow.f64 J #s(literal -2 binary64)) (.f64 U U))
(*.f64 (/.f64 U (neg.f64 J)) (/.f64 U (neg.f64 J)))
(.f64 (.f64 (/.f64 U J) U) (pow.f64 J #s(literal -1 binary64)))
(.f64 (.f64 U U) (pow.f64 (pow.f64 (neg.f64 J) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 U U) (pow.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (neg.f64 J)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
(*.f64 (/.f64 U J) (/.f64 U J))
(*.f64 U (/.f64 (/.f64 U J) J))
(pow.f64 (exp.f64 (log.f64 (/.f64 U J))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 U) (pow.f64 J #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 J (*.f64 (/.f64 U J) U)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 J J) (.f64 U U)) #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))
(pow.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 U J) (neg.f64 U)) (neg.f64 J))
(/.f64 (*.f64 (/.f64 U J) #s(literal 1 binary64)) (/.f64 J U))
(/.f64 (neg.f64 (*.f64 (/.f64 U J) U)) (neg.f64 J))
(/.f64 (neg.f64 (.f64 U U)) (.f64 (neg.f64 J) J))
(/.f64 (.f64 (neg.f64 U) #s(literal 1 binary64)) (.f64 (neg.f64 J) (/.f64 J U)))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (neg.f64 J) J))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 U)) (.f64 (/.f64 J U) (neg.f64 J)))
(/.f64 (.f64 #s(literal 1 binary64) U) (/.f64 (.f64 J J) U))
(/.f64 (.f64 U (neg.f64 U)) (.f64 (neg.f64 J) J))
(/.f64 (*.f64 (neg.f64 U) (/.f64 U J)) (neg.f64 J))
(/.f64 (*.f64 (/.f64 U J) U) J)
(/.f64 (.f64 U U) (.f64 J J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U J) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 J J) (.f64 U U)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)))
(/.f64 (/.f64 U J) (/.f64 J U))
(/.f64 U (/.f64 (*.f64 J J) U))
(exp.f64 (*.f64 (log.f64 (/.f64 U J)) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 J J) #s(literal 1 binary64)) (pow.f64 U #s(literal -1 binary64)))
(*.f64 (/.f64 J U) J)
(.f64 (.f64 (neg.f64 J) J) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))
(*.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 J J) (pow.f64 U #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 J J) U))
(*.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 (/.f64 (*.f64 (neg.f64 J) J) #s(literal -1 binary64)) U)
(/.f64 (.f64 (.f64 J J) #s(literal -1 binary64)) (neg.f64 U))
(/.f64 (.f64 (.f64 J J) #s(literal 1 binary64)) U)
(/.f64 (neg.f64 (*.f64 (neg.f64 J) J)) (neg.f64 (neg.f64 U)))
(/.f64 (*.f64 (neg.f64 J) J) (neg.f64 U))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 U J) J)))
(/.f64 (*.f64 J J) U)
(/.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))
(neg.f64 (/.f64 (*.f64 (neg.f64 J) J) U))
(neg.f64 (/.f64 (*.f64 J J) (neg.f64 U)))
(exp.f64 (fma.f64 (log.f64 U) #s(literal -1 binary64) (*.f64 (log.f64 J) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 J) #s(literal 2 binary64) (*.f64 (log.f64 U) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U J) J)) #s(literal -1 binary64)))
#s(approx (/ (pow (cos (* 1/2 K)) 2) U) (pow.f64 U #s(literal -1 binary64)))

eval80.0ms (1%)

Memory: 5.7MiB live, 164.6MiB allocated
Compiler: Compiled 33 204 to 2 965 computations (91.1% saved)

prune24.0ms (0.3%)

Memory

-20.9MiB live, 62.1MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	503	8	511
Fresh	4	2	6
Picked	3	2	5
Done	0	1	1
Total	510	13	523

Accuracy

100.0%

Counts

523 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))))) U) (neg.f64 U)))
▶	55.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64)))
	37.0%	#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) (.f64 J J)) U) U #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
▶	49.9%	#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)))
✓	13.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -2 binary64)))
	9.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 #s(literal -1/2 binary64) (/.f64 U J))) (.f64 #s(literal -2 binary64) J)))
✓	42.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	25.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
✓	39.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
▶	29.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	29.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal -2 binary64)) J)))
▶	13.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
▶	30.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))

Compiler

Compiled 1 098 to 731 computations (33.4% saved)

simplify145.0ms (1.8%)

Memory

1.4MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
cost-diff	0	(fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
cost-diff	832	(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))
cost-diff	0	(/.f64 (*.f64 U U) J)
cost-diff	0	(fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	#s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64)))
cost-diff	704	(fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	543
0	85	543
1	159	543
2	358	543
3	888	543
4	2452	543
5	4618	537
0	8844	518

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.7%)

Memory

29.5MiB live, 265.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	0.0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.09375	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
accuracy	32.00977816484658	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
accuracy	2.8450448084655697	(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))
accuracy	7.902982853030647	(/.f64 (*.f64 J J) U)
accuracy	20.10421394501558	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U))))
accuracy	63.37489318281272	#s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 J J) U) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	6.34385279693543	(/.f64 (*.f64 U U) J)
accuracy	20.10421394501558	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
accuracy	31.438029883106832	#s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	20.10421394501558	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))
accuracy	32.007490462526555	#s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J))
accuracy	0.2812173786806441	(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy	7.799263474715929	(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))
accuracy	10.069646711572295	(sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
accuracy	15.013143069590226	(/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J J)))

Samples

105.0ms

256×

valid

Compiler

Compiled 957 to 116 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 32.0ms (40.3% of total)

ival-cos: 16.0ms (20.2% of total)

ival-div: 13.0ms (16.4% of total)

ival-add: 8.0ms (10.1% of total)

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

ival-pow2: 3.0ms (3.8% of total)

exact: 1.0ms (1.3% of total)

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

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

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

series48.0ms (0.6%)

Memory

-29.2MiB live, 90.6MiB allocated

Counts

23 → 154

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	J	@	0	((+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ -2 U) (/ (* J J) U)) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) (* -2 J)) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* J J) U))
5.0ms	J	@	inf	((+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ -2 U) (/ (* J J) U)) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) (* -2 J)) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* J J) U))
5.0ms	K	@	inf	((+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ -2 U) (/ (* J J) U)) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) (* -2 J)) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* J J) U))
5.0ms	J	@	-inf	((+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ -2 U) (/ (* J J) U)) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) (* -2 J)) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* J J) U))
5.0ms	U	@	inf	((+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) -2) (* (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (* (cos (* 1/2 K)) J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (+ (* (/ -2 U) (/ (* J J) U)) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (+ (* (/ -2 U) (/ (* J J) U)) -1) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* 1/2 K)) (* -2 J)) (cos (* 1/2 K)) (* 1/2 K) (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) (sqrt (+ (* (/ (* U U) (* (+ (* (cos K) 1/2) 1/2) (* J J))) 1/4) 1)) (+ (* (cos K) 1/2) 1/2) (/ (* J J) U))

simplify204.0ms (2.5%)

Memory

11.3MiB live, 327.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	724	6400
1	2375	6170
0	8313	5716

Stop Event

1×	iter limit
1×	node limit

Counts

154 → 153

Calls

Call 1

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

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

rewrite150.0ms (1.8%)

Memory

18.8MiB live, 259.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	475
0	85	475
1	294	475
2	1961	458
0	8201	452

Stop Event

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

Counts

23 → 335

Calls

Call 1

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

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

eval81.0ms (1%)

Memory: -0.2MiB live, 194.4MiB allocated
Compiler: Compiled 34 275 to 2 956 computations (91.4% saved)

prune31.0ms (0.4%)

Memory

-4.8MiB live, 72.5MiB allocated

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	512	8	520
Fresh	1	4	5
Picked	1	4	5
Done	1	2	3
Total	515	18	533

Accuracy

100.0%

Counts

533 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))))) U) (neg.f64 U)))
✓	55.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64)))
	37.0%	#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) (.f64 J J)) U) U #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
✓	49.9%	#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)))
	28.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (cos ( 1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
✓	42.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	25.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)))
✓	39.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
✓	29.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	29.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal -2 binary64)) J)))
	13.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (/.f64 J U) J) #s(literal -1 binary64)) (neg.f64 U))))
	13.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 #s(approx (+ ( (/ -2 U) (/ (* J J) U)) -1) #s(literal -1 binary64)) (neg.f64 U))))
✓	30.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (*.f64 #s(literal -2 binary64) J)))
	17.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 U U) (.f64 (*.f64 J J) #s(literal -2 binary64))) J))))
	12.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (fma.f64 (/.f64 J U) (/.f64 #s(literal -2 binary64) U) (/.f64 #s(literal -1/4 binary64) J)) (.f64 U U)))))
	12.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) #s(approx (* (+ (* (/ -2 U) (/ (* J J) U)) -1) (neg U)) (.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 U U)) (*.f64 J J) #s(literal 1 binary64)) U))))
	2.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) #s(approx (* (+ (* (/ -2 U) (/ (* J J) U)) -1) (neg U)) (.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)))))
	28.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (cos (* 1/2 K)) (* -2 J)) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))

Compiler

Compiled 2 582 to 843 computations (67.4% saved)

regimes77.0ms (0.9%)

Memory

18.1MiB live, 101.0MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

25.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms	U
10.0ms	(/.f64 K #s(literal 2 binary64))
9.0ms	J
9.0ms	K

Results

Accuracy	Segments	Branch
80.0%	2	`J`
71.9%	1	`K`
82.3%	2	`U`
99.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
71.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
71.9%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes14.0ms (0.2%)

Memory

-22.5MiB live, 15.4MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
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)

regimes10.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

31 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
93.3%	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)

regimes16.0ms (0.2%)

Memory

-20.8MiB live, 14.9MiB allocated

Counts

30 → 3

Calls

Call 1

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

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

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

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
91.3%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

26 → 4

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
87.7%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes27.0ms (0.3%)

Memory

-13.6MiB live, 29.0MiB allocated

Counts

22 → 3

Calls

Call 1

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

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)))

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

Calls

3 calls:

13.0ms

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
60.2%	2	`J`
61.7%	2	`U`
80.7%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes30.0ms (0.4%)

Memory

-0.4MiB live, 35.7MiB allocated

Counts

21 → 4

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
47.4%	2	`K`
47.4%	2	`(/.f64 K #s(literal 2 binary64))`
59.1%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
73.0%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
66.9%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Counts

15 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
66.7%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
66.7%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.5%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
54.0%	2	`J`
54.0%	2	`U`
54.8%	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 30 to 29 computations (3.3% saved)

regimes11.0ms (0.1%)

Memory

-23.6MiB live, 13.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	J
1.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	U
1.0ms	K

Results

Accuracy	Segments	Branch
42.5%	1	`K`
42.5%	1	`(/.f64 K #s(literal 2 binary64))`
42.5%	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)))))`
42.5%	1	`J`
42.5%	1	`U`

Compiler

Compiled 30 to 31 computations (-3.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.910108693734947e+302	+inf
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.910108693734947e+302	+inf
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.1569360546037645e+294	3.910108693734947e+302
0.0ms	9.872749295813645e-169	7.375823894281927e-149
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.910108693734947e+302	+inf
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	3.910108693734947e+302	+inf
0.0ms	-8.18018950749577e-299	2.7775821782474346e-271
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-8.18018950749577e-299	2.7775821782474346e-271
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.18018950749577e-299	2.7775821782474346e-271
0.0ms	-6.18709095784004e-94	-4.751089360686457e-94
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.18018950749577e-299	2.7775821782474346e-271
0.0ms	-1.6853301172944527e+41	-1.4566234074353164e+30
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.18018950749577e-299	2.7775821782474346e-271
0.0ms	-1.6853301172944527e+41	-1.4566234074353164e+30
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-8.18018950749577e-299	2.7775821782474346e-271
0.0ms	-1.6853301172944527e+41	-1.4566234074353164e+30
0.0ms	-inf	-1.626587584259808e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch29.0ms (0.4%)

Memory

-8.8MiB live, 27.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	1.8004001960245857e-57	6.341060014061918e-55

Samples

21.0ms

128×

valid

Compiler

Compiled 603 to 423 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 10.0ms (55.8% of total)

ival-cos: 3.0ms (16.7% of total)

ival-div: 2.0ms (11.2% of total)

ival-add: 1.0ms (5.6% of total)

ival-sqrt: 1.0ms (5.6% of total)

ival-pow2: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify97.0ms (1.2%)

Memory

15.8MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	2337
1	241	2337
2	397	2337
3	772	2337
4	1689	2337
5	3351	2337
6	4978	2337
7	7183	2337

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 #s(approx (+ ( (/ -2 U) (/ (* J J) U)) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 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))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 #s(approx (+ ( (/ -2 U) (/ (* J J) U)) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) (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 2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (/.f64 J U) J) #s(literal -1 binary64)) (neg.f64 U)))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 #s(approx (+ ( (/ -2 U) (/ (* J J) U)) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 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))) (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 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx ( (sqrt (+ (* (/ (* (/ U J) (/ U J)) (pow (cos (* 1/2 K)) 2)) 1/4) 1)) (* (cos (* 1/2 K)) J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 #s(approx (+ ( (/ -2 U) (/ (* J J) U)) -1) #s(literal -1 binary64)) (neg.f64 U)))))))
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(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 -2348542582773833/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 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) (.f64 J J)) U) U #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4712544691453469/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* 1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (* -2 J)) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (/.f64 J U) J) #s(literal -1 binary64)) (neg.f64 U)))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

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

soundness1.4s (16.9%)

Memory

19.6MiB live, 1 091.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	518
0	109	488
1	361	484
2	2413	474
0	8999	462
0	633	5184
1	2103	5022
0	8086	4754
0	58	475
0	85	475
1	294	475
2	1961	458
0	8201	452
0	724	6400
1	2375	6170
0	8313	5716
0	764	6109
1	2495	5920
0	8380	5521
0	17	66
0	28	66
1	79	66
2	432	66
3	4372	66
0	8150	66
0	360	2514
1	1153	2406
2	4564	2274
0	8545	2137
0	56	364
0	90	354
1	241	354
2	1297	342
0	8487	342

Stop Event

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

Compiler

Compiled 3 470 to 1 058 computations (69.5% saved)

preprocess183.0ms (2.2%)

Memory: -9.6MiB live, 263.2MiB allocated
Remove: (abs K)
Compiler: Compiled 6 358 to 1 020 computations (84% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start2.0ms (0%)

analyze285.0ms (3.5%)

sample1.7s (20.8%)

explain296.0ms (3.6%)

preprocess122.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.6%)

localize101.0ms (1.2%)

series38.0ms (0.5%)

simplify291.0ms (3.6%)

rewrite278.0ms (3.4%)

eval116.0ms (1.4%)

prune41.0ms (0.5%)

simplify193.0ms (2.4%)

localize194.0ms (2.4%)

series91.0ms (1.1%)

simplify225.0ms (2.8%)

rewrite206.0ms (2.5%)

eval182.0ms (2.2%)

prune35.0ms (0.4%)

simplify202.0ms (2.5%)

localize229.0ms (2.8%)

series81.0ms (1%)

simplify195.0ms (2.4%)

rewrite195.0ms (2.4%)

eval80.0ms (1%)

prune24.0ms (0.3%)

simplify145.0ms (1.8%)

localize138.0ms (1.7%)

series48.0ms (0.6%)

simplify204.0ms (2.5%)

rewrite150.0ms (1.8%)

eval81.0ms (1%)

prune31.0ms (0.4%)

regimes77.0ms (0.9%)

regimes14.0ms (0.2%)

regimes10.0ms (0.1%)

regimes16.0ms (0.2%)

regimes9.0ms (0.1%)

regimes27.0ms (0.3%)

regimes30.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch29.0ms (0.4%)

simplify97.0ms (1.2%)

soundness1.4s (16.9%)

preprocess183.0ms (2.2%)

end0.0ms (0%)

Profiling