Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze215.0ms (3.7%)

Memory

-7.5MiB live, 77.2MiB 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)

sample1.1s (20%)

Memory

20.1MiB live, 395.5MiB allocated

Samples

844.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 653.0ms

ival-mult: 221.0ms (33.8% of total)

ival-cos: 162.0ms (24.8% of total)

ival-div: 90.0ms (13.8% of total)

ival-pow2: 72.0ms (11% of total)

ival-sqrt: 50.0ms (7.7% of total)

ival-add: 36.0ms (5.5% of total)

exact: 11.0ms (1.7% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain188.0ms (3.3%)

Memory

-22.9MiB live, 107.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
50	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))))`
23	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	140	(4.0657646599671394e+267 -1.9411502191064563e+266 -1.6461260118728005e-154)	-	`(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	140	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	50	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	23
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	23
↳	`(+.f64 #s(literal 1 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	73
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	73
`*.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**	23	0

Confusion

	Predicted +	Predicted -
+	73	0
-	109	74

Precision

0.4010989010989011

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	73	0	0
-	109	0	74

Precision?

0.4010989010989011

Recall?

1.0

Freqs

test

number	freq
0	74
1	151
2	31

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

32.990234375

Average Time

0.12886810302734375

Samples

61.0ms

512×

valid

Compiler

Compiled 358 to 72 computations (79.9% saved)

Precisions

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

ival-mult: 13.0ms (31% of total)

ival-cos: 11.0ms (26.3% of total)

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

ival-pow2: 4.0ms (9.6% of total)

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

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

exact: 1.0ms (2.4% of total)

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

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

preprocess83.0ms (1.4%)

Memory

2.6MiB live, 10.1MiB 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	4090	216
5	6770	216
0	17	24
0	28	24
1	44	24
2	87	24
3	211	24
4	609	24
5	1121	24
6	1532	24
7	1595	24
8	1612	24
9	1623	24
10	1625	24
11	1625	24
12	1625	24
0	1625	24

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.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

▶

72.8%

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

simplify37.0ms (0.6%)

Memory

3.6MiB live, 3.6MiB 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)

localize45.0ms (0.8%)

Memory

-7.3MiB live, 17.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.21484375	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	5.449538300740677	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.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	11.639431228683545	(sqrt.f64 (+.f64 #s(literal 1 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

34.0ms

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: 10.0ms (41.9% of total)

ival-cos: 5.0ms (21% of total)

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

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

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

ival-sqrt: 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)

series34.0ms (0.6%)

Memory

6.5MiB live, 13.8MiB 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
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	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
5.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
4.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify174.0ms (3%)

Memory

-1.2MiB live, 58.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	2514
1	1153	2406
2	4510	2274
0	8500	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))

rewrite132.0ms (2.3%)

Memory

4.1MiB live, 45.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66

Stop Event

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

Counts

6 → 306

Calls

Call 1

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

Outputs
(.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 (.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 #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 (.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)))

eval50.0ms (0.9%)

Memory: 3.5MiB live, 40.5MiB allocated
Compiler: Compiled 13 436 to 1 814 computations (86.5% saved)

prune31.0ms (0.5%)

Memory

-11.6MiB live, 18.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	365	10	375
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	366	10	376

Accuracy

99.9%

Counts

376 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.2%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	72.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
▶	61.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
▶	51.6%	(.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)))
	49.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	26.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))
▶	14.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
	40.0%	#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)))
▶	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 820 to 552 computations (32.7% saved)

simplify104.0ms (1.8%)

Memory

11.8MiB live, 31.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	459
0	84	459
1	141	459
2	325	459
3	811	459
4	2353	459
5	6834	459
0	8226	457

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (2.2%)

Memory

-8.3MiB live, 49.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (/.f64 J U) (/.f64 J U))
accuracy	0.30697250976844204	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	4.0091925025592925	(.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))
accuracy	55.00310846330597	#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)))
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	5.449538300740677	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))))
accuracy	11.50141033686049	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))))
accuracy	11.660255448291721	(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
accuracy	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	5.449538300740677	(.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	30.873964975620936	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0	(neg.f64 U)
accuracy	38.24919331042841	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.15625	(.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
accuracy	0.21388627930532605	(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))
accuracy	5.449538300740677	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
accuracy	11.639431228683545	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))))

Samples

84.0ms

256×

valid

Compiler

Compiled 872 to 104 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 19.0ms (31.2% of total)

ival-cos: 15.0ms (24.6% of total)

ival-div: 9.0ms (14.8% of total)

ival-add: 5.0ms (8.2% of total)

ival-sqrt: 4.0ms (6.6% of total)

ival-pow2: 4.0ms (6.6% of total)

ival-pow: 3.0ms (4.9% of total)

exact: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

series58.0ms (1%)

Memory

5.0MiB live, 28.8MiB allocated

Counts

20 → 147

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))
7.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))
7.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))
7.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))
6.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))

simplify156.0ms (2.7%)

Memory

3.9MiB live, 56.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	728	5083
1	2328	4951
0	8470	4698

Stop Event

1×	iter limit
1×	node limit

Counts

147 → 146

Calls

Call 1

Inputs
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
(* 1/2 (/ U (* J (cos (* -1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (/ (* (pow J 2) (cos (* -1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))))) (/ (cos (* -1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(* 2 (/ (* J (cos (* -1/2 K))) U))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 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)
(/ (pow J 2) (pow U 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)) (/ U (pow J 2))))
(* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))
(* (pow J 2) (- (* -2 (/ (pow (cos (* 1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* 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 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U)))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U)))))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U)))))))
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)
(+ (* -1/4 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* 1/48 (/ (* (pow J 2) (pow K 2)) (pow U 2))))) (/ (pow J 2) (pow U 2)))
(+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/48 (/ (pow J 2) (pow U 2))))))) (/ (pow J 2) (pow U 2)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 2 (/ J U))
(+ (* -1/4 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/192 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/23040 (/ (* J (pow K 2)) U)) (* 1/192 (/ J U)))))))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* -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))))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* 1/2 K)) 2)
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(/ (+ (* 2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 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 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
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(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
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(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
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(* -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)))))))
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(* -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)))))))
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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) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
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U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
(fma.f64 (.f64 (.f64 J J) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) U)
-1
#s(literal -1 binary64)
(- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)
(fma.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64))
(/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))
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(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3))) (/ (cos (* -1/2 K)) U)))) J)
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(/ (+ (* 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)
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
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(* 2 (/ (* J (cos (* -1/2 K))) U))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
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(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) J) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
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(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
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(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 J U) U) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) U)
(* 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 (/.f64 J U) U) (/.f64 #s(literal 1/2 binary64) J)) (/.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 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (neg.f64 U))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (neg.f64 U))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64))) (neg.f64 U))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64)))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 (/.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 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 (/.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 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 U))
(* -1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal -1/2 binary64))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 J 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 (/.f64 J 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 (/.f64 J 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))

rewrite127.0ms (2.2%)

Memory

-0.0MiB live, 51.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	331
0	84	321
1	250	313
2	1551	310
0	8239	305

Stop Event

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

Counts

20 → 395

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
(.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) J))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (neg.f64 J) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (neg.f64 J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J)))))
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 #s(literal -1 binary64) U)
(*.f64 U #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 U) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 U U) (.f64 #s(literal 0 binary64) (neg.f64 U)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U))) (neg.f64 (+.f64 #s(literal 0 binary64) U)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
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(*.f64 (exp.f64 (log.f64 (/.f64 J U))) (exp.f64 (log.f64 (/.f64 J U))))
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(*.f64 (/.f64 J (neg.f64 U)) (/.f64 J (neg.f64 U)))
(*.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) (/.f64 (/.f64 J U) (pow.f64 (neg.f64 J) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 J U) #s(literal 1 binary64)) (/.f64 J U))
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(*.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 (/.f64 J U) U))
(.f64 (pow.f64 U #s(literal -2 binary64)) (.f64 J J))
(.f64 (.f64 (/.f64 J U) J) (pow.f64 U #s(literal -1 binary64)))
(*.f64 (pow.f64 U #s(literal -1 binary64)) (/.f64 (/.f64 J U) (pow.f64 J #s(literal -1 binary64))))
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(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) J)) (neg.f64 (.f64 (/.f64 U J) U)))
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(/.f64 (neg.f64 (.f64 (neg.f64 J) J)) (neg.f64 (.f64 (neg.f64 U) U)))
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(/.f64 (*.f64 (/.f64 J U) #s(literal 1 binary64)) (/.f64 U J))
(/.f64 (neg.f64 (/.f64 J U)) (neg.f64 (/.f64 U J)))
(/.f64 (neg.f64 (*.f64 (/.f64 J U) J)) (neg.f64 U))
(/.f64 (neg.f64 (.f64 J J)) (neg.f64 (.f64 U U)))
(/.f64 (.f64 (neg.f64 J) #s(literal 1 binary64)) (.f64 (neg.f64 U) (/.f64 U J)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 J)) (.f64 (/.f64 U J) (neg.f64 U)))
(/.f64 (.f64 #s(literal 1 binary64) J) (.f64 (/.f64 U J) U))
(/.f64 (.f64 J #s(literal 1 binary64)) (.f64 U (/.f64 U J)))
(/.f64 (*.f64 (/.f64 J U) (neg.f64 J)) (neg.f64 U))
(/.f64 (.f64 (neg.f64 J) J) (.f64 (neg.f64 U) U))
(/.f64 (*.f64 (neg.f64 J) (/.f64 J U)) (neg.f64 U))
(/.f64 (.f64 J (neg.f64 J)) (.f64 U (neg.f64 U)))
(/.f64 (*.f64 (/.f64 J U) J) U)
(/.f64 (.f64 J J) (.f64 U U))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 (/.f64 J U) J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 J U) #s(literal -2 binary64))))
(/.f64 (/.f64 J U) (/.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (/.f64 J U) J)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J U) #s(literal -2 binary64)))
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eval107.0ms (1.9%)

Memory: -0.6MiB live, 66.4MiB allocated
Compiler: Compiled 29 532 to 2 884 computations (90.2% saved)

prune20.0ms (0.3%)

Memory

-3.8MiB live, 29.7MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	618	10	628
Fresh	2	3	5
Picked	4	1	5
Done	0	0	0
Total	624	14	638

Accuracy

99.9%

Counts

638 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.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)))
	48.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
▶	72.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
▶	51.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	24.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	24.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	49.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	22.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
▶	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
	14.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	40.0%	#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)))
	12.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
▶	14.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 1 115 to 767 computations (31.2% saved)

simplify121.0ms (2.1%)

Memory

7.7MiB live, 35.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U)))
cost-diff	0	(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
cost-diff	896	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #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)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	518
0	92	518
1	156	518
2	347	518
3	831	518
4	1916	518
5	4442	514
6	7672	514
0	8278	512

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (2.3%)

Memory

-4.1MiB live, 50.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (/.f64 J U) (/.f64 J U))
accuracy	0.30697250976844204	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	4.0091925025592925	(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
accuracy	37.900089437493506	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.12890625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy	5.449538300740677	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	30.873964975620936	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0.34619756342036234	(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy	5.449538300740677	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	30.873964975620936	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	34.303513664016165	#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))
accuracy	0	(neg.f64 U)
accuracy	4.0091925025592925	(.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
accuracy	30.400741704540415	#s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64))
accuracy	55.00310846330597	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.15625	(.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
accuracy	0.21388627930532605	(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))
accuracy	5.449538300740677	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
accuracy	11.639431228683545	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64))))

Samples

98.0ms

256×

valid

Compiler

Compiled 957 to 117 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 24.0ms (32.2% of total)

ival-cos: 16.0ms (21.5% of total)

ival-add: 14.0ms (18.8% of total)

ival-div: 6.0ms (8.1% of total)

ival-pow2: 4.0ms (5.4% of total)

const: 3.0ms (4% of total)

ival-sqrt: 3.0ms (4% of total)

ival-pow: 3.0ms (4% 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)

series37.0ms (0.6%)

Memory

-6.7MiB live, 25.3MiB allocated

Counts

23 → 143

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	J	@	0	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))
4.0ms	K	@	inf	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))
4.0ms	U	@	0	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))
4.0ms	K	@	-inf	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))
4.0ms	J	@	inf	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U)) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2))) (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2) (* (/ (* 2 J) U) (cos (* K -1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* 1/384 (* K K)) -1/8) (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U)))

simplify152.0ms (2.6%)

Memory

14.7MiB live, 55.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	686	4990
1	2225	4861
0	8436	4613

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 142

Calls

Call 1

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

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

rewrite148.0ms (2.6%)

Memory

-9.4MiB live, 52.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	396
0	92	380
1	271	366
2	1534	366
0	8759	359

Stop Event

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

Counts

23 → 616

Calls

Call 1

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

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

eval110.0ms (1.9%)

Memory: 8.6MiB live, 89.7MiB allocated
Compiler: Compiled 38 236 to 3 916 computations (89.8% saved)

prune33.0ms (0.6%)

Memory

-12.0MiB live, 43.0MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	837	10	847
Fresh	1	7	8
Picked	2	3	5
Done	0	1	1
Total	840	21	861

Accuracy

99.9%

Counts

861 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	48.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
▶	72.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
✓	51.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	24.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	23.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	24.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) U (neg.f64 U)))
	49.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶	22.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
▶	14.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
▶	40.0%	#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)))
	12.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
	13.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
	7.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
	7.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 U U)) (pow.f64 U #s(literal -1 binary64)))))
✓	14.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	40.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
	33.2%	#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))

Compiler

Compiled 1 701 to 1 158 computations (31.9% saved)

simplify89.0ms (1.6%)

Memory

7.6MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	546
0	110	523
1	199	509
2	488	494
3	1483	485
4	4200	470
0	8175	465

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (2.7%)

Memory

-1.4MiB live, 62.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (/.f64 J U) (/.f64 J U))
accuracy	0.43359007718740833	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K)))))
accuracy	4.0091925025592925	(.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
accuracy	55.00310846330597	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
accuracy	0.12175751953688405	(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))
accuracy	5.422194550740677	(.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	11.660255448291721	(sqrt.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64)))
accuracy	24.115791029505132	#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	1.9287626335018457	(fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))
accuracy	4.004613918954327	(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)
accuracy	7.451156827142196	#s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U))
accuracy	37.900089437493506	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
accuracy	0	(+.f64 #s(literal 0 binary64) U)
accuracy	0	(*.f64 U U)
accuracy	28.970422034400503	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
accuracy	38.24919331042841	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
accuracy	0.15625	(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
accuracy	0.21388627930532605	(pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
accuracy	5.449538300740677	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
accuracy	11.639431228683545	(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64)))

Samples

118.0ms

256×

valid

Compiler

Compiled 1 006 to 143 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 41.0ms (43.8% of total)

ival-cos: 20.0ms (21.4% of total)

ival-div: 10.0ms (10.7% of total)

ival-add: 8.0ms (8.5% of total)

ival-pow2: 5.0ms (5.3% of total)

ival-sqrt: 4.0ms (4.3% of total)

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

ival-sub: 1.0ms (1.1% 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)

series56.0ms (1%)

Memory

-6.5MiB live, 30.1MiB allocated

Counts

26 → 165

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	K	@	inf	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ -2 U) (* J (/ J U))) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (+ (* (/ -2 U) (* J (/ J U))) -1) (* (* (* -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) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ J U) (/ J U)))
6.0ms	U	@	0	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ -2 U) (* J (/ J U))) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (+ (* (/ -2 U) (* J (/ J U))) -1) (* (* (* -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) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ J U) (/ J U)))
6.0ms	J	@	inf	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ -2 U) (* J (/ J U))) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (+ (* (/ -2 U) (* J (/ J U))) -1) (* (* (* -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) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ J U) (/ J U)))
6.0ms	J	@	0	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ -2 U) (* J (/ J U))) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (+ (* (/ -2 U) (* J (/ J U))) -1) (* (* (* -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) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ J U) (/ J U)))
5.0ms	K	@	-inf	((* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1))) (* (* -2 J) (cos (* 1/2 K))) (* -2 J) (cos (* 1/2 K)) (/ (- 0 (* U U)) (+ 0 U)) (+ 0 U) (- 0 (* U U)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ -2 U) (* J (/ J U))) -1) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (+ (* (/ -2 U) (* J (/ J U))) -1) (* (* (* -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) (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (* 2 (* 1/2 K)) (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (sqrt (+ (* 1/4 (pow (* (/ J U) (cos (* -1/2 K))) -2)) 1)) (pow (* (/ J U) (cos (* -1/2 K))) -2) (* (/ J U) (cos (* -1/2 K))) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ J U) (/ J U)))

simplify153.0ms (2.7%)

Memory

12.5MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	5108
1	2415	4972
0	8324	4690

Stop Event

1×	iter limit
1×	node limit

Counts

165 → 163

Calls

Call 1

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

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

rewrite127.0ms (2.2%)

Memory

-0.1MiB live, 51.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	429
0	110	398
1	375	360
2	2858	360
0	8550	351

Stop Event

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

Counts

26 → 582

Calls

Call 1

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

Outputs
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
(.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) J))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) J)))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(neg.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 U (neg.f64 (pow.f64 U #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 U (neg.f64 (pow.f64 U #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 U #s(literal -4 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 U) U) (pow.f64 U #s(literal 3 binary64))) (*.f64 U U))
(.f64 (/.f64 (.f64 (neg.f64 U) U) (*.f64 (neg.f64 U) U)) (neg.f64 U))
(.f64 (pow.f64 U #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (neg.f64 U) U) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 U #s(literal -1 binary64)) (.f64 (neg.f64 U) U))
(*.f64 #s(literal -1 binary64) U)
(.f64 (.f64 (neg.f64 U) U) (pow.f64 U #s(literal -1 binary64)))
(.f64 (.f64 U U) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 U))
(*.f64 U #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 U U) #s(literal -1 binary64)) U)
(/.f64 (.f64 (neg.f64 (pow.f64 U #s(literal 4 binary64))) (pow.f64 U #s(literal -1 binary64))) (.f64 U U))
(/.f64 (*.f64 (neg.f64 (pow.f64 U #s(literal 6 binary64))) (pow.f64 U #s(literal -1 binary64))) (pow.f64 U #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 3 binary64))) (*.f64 U U))
(/.f64 (*.f64 (neg.f64 (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 U #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 U #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 U #s(literal 5 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 U) U) #s(literal 1 binary64)) U)
(/.f64 (pow.f64 (neg.f64 U) #s(literal 3 binary64)) (*.f64 U U))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -4 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -6 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (pow.f64 U #s(literal 3 binary64))) #s(literal -2 binary64)) (pow.f64 U #s(literal -4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (neg.f64 U) U)) #s(literal -2 binary64)) (pow.f64 (neg.f64 U) #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (.f64 U U))
(.f64 (pow.f64 J #s(literal -2 binary64)) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) #s(literal -2 binary64)))
(.f64 (pow.f64 J #s(literal -2 binary64)) (pow.f64 (.f64 (pow.f64 U #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -1 binary64)) (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 U J) #s(literal 2 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 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U))))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U))) #s(literal -1 binary64) (.f64 (log.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64) (.f64 (log.f64 (/.f64 J U)) #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 J U)) #s(literal -2 binary64) (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J U))) #s(literal -2 binary64)))
(.f64 (exp.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (exp.f64 (log.f64 (/.f64 J U))))
(.f64 (exp.f64 (log.f64 (/.f64 J U))) (exp.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (pow.f64 U #s(literal 3 binary64))) (.f64 U U))
(.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (neg.f64 U) U)) (neg.f64 U))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (pow.f64 U #s(literal -1 binary64)))
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(.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 J (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
(.f64 J (.f64 (pow.f64 U #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(pow.f64 (/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) #s(literal -1 binary64))
(/.f64 (exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (exp.f64 (log.f64 U)))
(/.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (neg.f64 U))
(/.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 U J))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 J)) (neg.f64 U))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (/.f64 U J))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (neg.f64 U))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U)
(/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))
(/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J U))))
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 U)))
(*.f64 (pow.f64 (pow.f64 U #s(literal -3 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal -4 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 U) U) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (neg.f64 U) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 U U) (.f64 (neg.f64 U) U)) #s(literal 2 binary64)) (.f64 U U))
(*.f64 (pow.f64 U #s(literal -2 binary64)) (pow.f64 U #s(literal 4 binary64)))
(*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 U #s(literal -2 binary64)))
(*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (pow.f64 U #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (neg.f64 U) (neg.f64 U))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 U) U))
(.f64 (.f64 U U) (pow.f64 (/.f64 U U) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 U U))
(*.f64 U (-.f64 U #s(literal 0 binary64)))
(*.f64 U U)
(pow.f64 (exp.f64 (log.f64 U)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) (pow.f64 (neg.f64 U) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 U #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (neg.f64 U) #s(literal 2 binary64))
(pow.f64 (*.f64 U U) #s(literal 1 binary64))
(pow.f64 U #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 U) U) U) (neg.f64 U))
(/.f64 (.f64 U (.f64 (neg.f64 U) U)) (neg.f64 U))
(/.f64 (-.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 U U))
(/.f64 (-.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 U #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 U #s(literal 4 binary64)))) (*.f64 U U))
(/.f64 (.f64 (pow.f64 U #s(literal 3 binary64)) (.f64 (neg.f64 U) U)) (pow.f64 (neg.f64 U) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (neg.f64 U) U) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (neg.f64 U) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 U #s(literal 6 binary64))) (neg.f64 (pow.f64 U #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 U #s(literal 4 binary64))) (*.f64 (neg.f64 U) U))
(/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 U U))
(/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 U #s(literal 4 binary64)))
(neg.f64 (*.f64 (neg.f64 U) U))
(fma.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 U)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 U #s(literal -3 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 U) U) #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (neg.f64 U) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (.f64 U U) (.f64 (neg.f64 U) U)) #s(literal 2 binary64)) (*.f64 U U) #s(literal 0 binary64))
(fma.f64 (pow.f64 U #s(literal -2 binary64)) (pow.f64 U #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 U #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (pow.f64 U #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 U) (neg.f64 U) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 U) U) #s(literal 0 binary64))
(fma.f64 (*.f64 U U) (pow.f64 (/.f64 U U) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 U U) #s(literal 0 binary64))
(fma.f64 U (-.f64 U #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 U U #s(literal 0 binary64))
(-.f64 (*.f64 U U) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 U) U))
(exp.f64 (*.f64 (log.f64 (pow.f64 U #s(literal -1 binary64))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(+.f64 (*.f64 U U) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 U U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (neg.f64 U) (fma.f64 (pow.f64 (.f64 (/.f64 J U) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64))))
(*.f64 (exp.f64 (log.f64 (/.f64 J U))) (exp.f64 (log.f64 (/.f64 J U))))
(*.f64 (pow.f64 (/.f64 J (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 U #s(literal 4 binary64)))
(.f64 (pow.f64 (/.f64 J (.f64 (neg.f64 U) U)) #s(literal 2 binary64)) (*.f64 U U))
(.f64 (pow.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 J J))
(.f64 (/.f64 (.f64 (/.f64 J U) J) (pow.f64 U #s(literal 3 binary64))) (*.f64 U U))
(.f64 (/.f64 (.f64 (/.f64 J U) J) (*.f64 (neg.f64 U) U)) (neg.f64 U))
(*.f64 (/.f64 (neg.f64 J) U) (/.f64 (neg.f64 J) U))
(*.f64 (/.f64 J (neg.f64 U)) (/.f64 J (neg.f64 U)))
(.f64 (pow.f64 U #s(literal -2 binary64)) (.f64 J J))
(.f64 (.f64 J J) (pow.f64 (pow.f64 (neg.f64 U) #s(literal -1 binary64)) #s(literal 2 binary64)))
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(.f64 (.f64 (/.f64 J U) J) (pow.f64 U #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U J) #s(literal -2 binary64)))
(*.f64 (/.f64 J U) (/.f64 J U))
(.f64 J (/.f64 J (.f64 U U)))
(*.f64 J (/.f64 (/.f64 J U) U))
(.f64 J (pow.f64 (.f64 U (/.f64 U J)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 J U))) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1 binary64))
(pow.f64 (/.f64 U (*.f64 (/.f64 J U) J)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1 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))
(pow.f64 (/.f64 J U) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 J U) #s(literal 1 binary64)) (/.f64 U J))
(/.f64 (neg.f64 (.f64 J J)) (.f64 (neg.f64 U) U))
(/.f64 (neg.f64 (*.f64 (/.f64 J U) J)) (neg.f64 U))
(/.f64 (.f64 (neg.f64 J) #s(literal 1 binary64)) (.f64 (neg.f64 U) (/.f64 U J)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 J)) (.f64 (/.f64 U J) (neg.f64 U)))
(/.f64 (.f64 #s(literal 1 binary64) J) (.f64 (/.f64 U J) U))
(/.f64 (.f64 J #s(literal 1 binary64)) (.f64 U (/.f64 U J)))
(/.f64 (*.f64 (/.f64 J U) (neg.f64 J)) (neg.f64 U))
(/.f64 (*.f64 (neg.f64 J) (/.f64 J U)) (neg.f64 U))
(/.f64 (.f64 (neg.f64 J) J) (.f64 (neg.f64 U) U))
(/.f64 (.f64 J (neg.f64 J)) (.f64 (neg.f64 U) U))
(/.f64 (.f64 J J) (.f64 U U))
(/.f64 (*.f64 (/.f64 J U) J) U)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 U U) (.f64 J J)))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (/.f64 J U) J)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
(/.f64 (/.f64 J U) (/.f64 U J))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 J U)) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 J U)) #s(literal 2 binary64)))

eval114.0ms (2%)

Memory: -1.6MiB live, 73.2MiB allocated
Compiler: Compiled 36 599 to 3 472 computations (90.5% saved)

prune28.0ms (0.5%)

Memory

-1.7MiB live, 40.3MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	740	6	746
Fresh	3	9	12
Picked	5	0	5
Done	0	4	4
Total	748	19	767

Accuracy

99.9%

Counts

767 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.9%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	48.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
	53.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))))
✓	51.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	24.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	24.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) U (neg.f64 U)))
	49.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	40.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
	12.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
	13.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
	7.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
✓	14.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
	11.2%	#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 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
	9.7%	#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 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
	26.0%	#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)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)))
✓	40.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	14.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))
	25.6%	#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))))

Compiler

Compiled 2 469 to 871 computations (64.7% saved)

regimes62.0ms (1.1%)

Memory

-6.0MiB live, 28.7MiB allocated

Counts

37 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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 (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 U U)) (pow.f64 U #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (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 (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #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 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.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(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 K #s(literal -1/2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

6 calls:

11.0ms	K
10.0ms	(/.f64 K #s(literal 2 binary64))
10.0ms	J
10.0ms	U
9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
82.7%	2	`J`
72.8%	1	`K`
79.7%	2	`U`
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
72.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
72.8%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes10.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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 (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 U U)) (pow.f64 U #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (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 (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #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 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (/.f64 J U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal -2 binary64)))))

Outputs

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

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

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

regimes9.0ms (0.2%)

Memory

-2.3MiB live, 5.6MiB 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)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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 (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 U U)) (pow.f64 U #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (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 (pow.f64 (.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #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 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (.f64 U U)) #s(literal 1 binary64))))

Outputs

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

(*.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 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -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
88.1%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.3%)

Memory

0.7MiB live, 8.4MiB allocated

Counts

24 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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 (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 U U)) (pow.f64 U #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) K))))) (.f64 (/.f64 J U) (/.f64 J U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))

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

Calls

2 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
71.1%	2	`J`
85.6%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-3.8MiB live, 4.5MiB allocated

Counts

22 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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 (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 U U)) (pow.f64 U #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ (* 1/4 U) J) (/ U J)) 1)) (fma.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) U) U #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 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)))

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
85.5%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

20 → 5

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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 (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 U U)) (pow.f64 U #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (+ 1/2 (* 1/2 (cos (* 2 (* 1/2 K))))) (* (/ J U) (/ J U))) -2) -1) (neg U)) (fma.f64 (.f64 (.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) #s(literal 2 binary64)) J) J U)))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) U) J) (/.f64 U J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #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
85.5%	5	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes26.0ms (0.5%)

Memory

-0.3MiB live, 15.1MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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 (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 U U)) (pow.f64 U #s(literal -1 binary64)))))

Outputs

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

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

Calls

5 calls:

5.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
5.0ms	K
5.0ms	U
5.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
58.5%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
45.9%	2	`K`
45.9%	2	`(/.f64 K #s(literal 2 binary64))`
53.2%	2	`U`
75.2%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 33 to 34 computations (-3% saved)

regimes10.0ms (0.2%)

Memory

-1.6MiB live, 6.2MiB 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)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) U) #s(literal -2 binary64) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (* 1/2 K))) (sqrt (+ 1 (pow (* (/ (* 2 J) U) (cos (* K -1/2))) -2)))) (.f64 (sqrt.f64 (fma.f64 (.f64 U (/.f64 U (.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 #s(literal -2 binary64) J)))

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

Calls

2 calls:

5.0ms

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

4.0ms

Results

Accuracy	Segments	Branch
54.0%	2	`J`
71.6%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes5.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

13 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 (/.f64 (*.f64 J J) U) 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)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 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)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) (fma.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 J (/.f64 J U)) #s(literal -1 binary64))) (neg.f64 U)))

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
63.9%	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

-5.7MiB live, 3.0MiB allocated

Counts

11 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 binary64)) U)))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 J (/.f64 J U)) #s(literal -1 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)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -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
63.7%	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)

regimes4.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

10 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #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 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 U U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (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))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(approx (+ ( 1/384 (* K K)) -1/8) (.f64 #s(literal 1/384 binary64) (.f64 K K))) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))

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 #s(approx (sqrt (+ ( (/ (* 1/4 U) J) (/ U J)) 1)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -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
63.6%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

-1.7MiB live, 6.2MiB 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)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #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)))) (*.f64 #s(approx (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))

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

Calls

4 calls:

2.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	J
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	U

Results

Accuracy	Segments	Branch
40.2%	1	`U`
40.2%	1	`J`
52.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
52.9%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes5.0ms (0.1%)

Memory

-2.1MiB live, 5.9MiB 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

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

Results

Accuracy	Segments	Branch
40.2%	1	`K`
40.2%	1	`(/.f64 K #s(literal 2 binary64))`
40.2%	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)))))`
40.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.034378086232969e+304	+inf
0.0ms	-inf	-8.091096522561169e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.034378086232969e+304	+inf
0.0ms	-inf	-8.091096522561169e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.034378086232969e+304	+inf
0.0ms	-inf	-8.091096522561169e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.034378086232969e+304	+inf
0.0ms	-6.637287251370517e-281	2.4776192703463088e-214
0.0ms	-3.1188320108609647e+108	-1.6571117700324575e+102
0.0ms	-4.7443141387365554e+300	-6.538679578315133e+299

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.034378086232969e+304	+inf
0.0ms	-6.637287251370517e-281	2.4776192703463088e-214
0.0ms	-3.1188320108609647e+108	-1.6571117700324575e+102
0.0ms	-4.7443141387365554e+300	-6.538679578315133e+299

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.034378086232969e+304	+inf
0.0ms	-6.637287251370517e-281	2.4776192703463088e-214
0.0ms	-3.1188320108609647e+108	-1.6571117700324575e+102
0.0ms	-4.7443141387365554e+300	-6.538679578315133e+299

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-6.637287251370517e-281	2.4776192703463088e-214
0.0ms	-inf	-8.091096522561169e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-6.637287251370517e-281	2.4776192703463088e-214
0.0ms	-2.4397196276010598e-158	-5.3529305376584525e-167
0.0ms	-4.7443141387365554e+300	-6.538679578315133e+299

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-6.637287251370517e-281	2.4776192703463088e-214
0.0ms	-1.1219004341691189e-72	-9.464934118833593e-73
0.0ms	-4.7443141387365554e+300	-6.538679578315133e+299

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-6.637287251370517e-281	2.4776192703463088e-214
0.0ms	-1.1219004341691189e-72	-9.464934118833593e-73
0.0ms	-4.7443141387365554e+300	-6.538679578315133e+299

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-6.637287251370517e-281	2.4776192703463088e-214
0.0ms	-1.1219004341691189e-72	-9.464934118833593e-73
0.0ms	-4.7443141387365554e+300	-6.538679578315133e+299

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch31.0ms (0.5%)

Memory

-4.6MiB live, 11.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-0.005005782283977091	0.016551332802814112

Samples

18.0ms

240×

valid

Compiler

Compiled 1 149 to 819 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.4% of total)

ival-div: 2.0ms (15.8% of total)

ival-pow2: 2.0ms (15.8% of total)

ival-add: 1.0ms (7.9% of total)

ival-sqrt: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify34.0ms (0.6%)

Memory

0.5MiB live, 23.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	2752
1	199	2752
2	213	2752
3	224	2752
4	230	2752
5	232	2752

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 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 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #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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(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -4000000000000000210019041020817680994817874324432636619663416462047209831955632783145485500321791456174817775331535512707770092941441722302579168739146827931393548803706303214951320935179152360237475812939883199780324476155870563520298610971120569978317035155280227371352462677888785547461837602160640 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) U) (.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (/.f64 J U) J) #s(literal -1 binary64)) U))) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #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)) #s(literal 1 binary64)) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -2043740476963553/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4000000000000000210019041020817680994817874324432636619663416462047209831955632783145485500321791456174817775331535512707770092941441722302579168739146827931393548803706303214951320935179152360237475812939883199780324476155870563520298610971120569978317035155280227371352462677888785547461837602160640 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 -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #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)) #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 -2043740476963553/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -4000000000000000210019041020817680994817874324432636619663416462047209831955632783145485500321791456174817775331535512707770092941441722302579168739146827931393548803706303214951320935179152360237475812939883199780324476155870563520298610971120569978317035155280227371352462677888785547461837602160640 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -3978585891278293/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) #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)) #s(literal 1 binary64)) (.f64 J #s(literal -2 binary64)))) (if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -2043740476963553/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 #s(approx (+ ( (* (pow (cos (* 1/2 K)) 2) (* (/ J U) (/ J U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness1.1s (19.6%)

Memory

5.6MiB live, 22.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	396
0	92	380
1	271	366
2	1534	366
0	8759	359
0	728	5083
1	2328	4951
0	8470	4698
0	54	331
0	84	321
1	250	313
2	1551	310
0	8239	305
0	686	4990
1	2225	4861
0	8436	4613
0	17	66
0	28	66
1	79	66
2	432	66
3	4364	66
0	8129	66
0	764	5108
1	2415	4972
0	8324	4690
0	360	2514
1	1153	2406
2	4510	2274
0	8500	2137

Stop Event

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

Compiler

Compiled 3 786 to 1 009 computations (73.3% saved)

preprocess84.0ms (1.5%)

Memory

1.4MiB live, 54.5MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 6 776 to 792 computations (88.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze215.0ms (3.7%)

sample1.1s (20%)

explain188.0ms (3.3%)

preprocess83.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.6%)

localize45.0ms (0.8%)

series34.0ms (0.6%)

simplify174.0ms (3%)

rewrite132.0ms (2.3%)

eval50.0ms (0.9%)

prune31.0ms (0.5%)

simplify104.0ms (1.8%)

localize124.0ms (2.2%)

series58.0ms (1%)

simplify156.0ms (2.7%)

rewrite127.0ms (2.2%)

eval107.0ms (1.9%)

prune20.0ms (0.3%)

simplify121.0ms (2.1%)

localize132.0ms (2.3%)

series37.0ms (0.6%)

simplify152.0ms (2.6%)

rewrite148.0ms (2.6%)

eval110.0ms (1.9%)

prune33.0ms (0.6%)

simplify89.0ms (1.6%)

localize158.0ms (2.7%)

series56.0ms (1%)

simplify153.0ms (2.7%)

rewrite127.0ms (2.2%)

eval114.0ms (2%)

prune28.0ms (0.5%)

regimes62.0ms (1.1%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes15.0ms (0.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes26.0ms (0.5%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (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%)

bsearch1.0ms (0%)

bsearch31.0ms (0.5%)

simplify34.0ms (0.6%)

soundness1.1s (19.6%)

preprocess84.0ms (1.5%)

end0.0ms (0%)

Profiling