Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze442.0ms (4.1%)

Memory

3.5MiB live, 580.4MiB 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)

sample2.1s (19.8%)

Memory

4.1MiB live, 2 405.7MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 490.0ms (40.8% of total)

ival-cos: 337.0ms (28.1% of total)

ival-pow2: 128.0ms (10.7% of total)

ival-div: 105.0ms (8.7% of total)

ival-sqrt: 75.0ms (6.2% of total)

ival-add: 44.0ms (3.7% of total)

exact: 12.0ms (1% of total)

ival-true: 6.0ms (0.5% of total)

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

Bogosity

explain235.0ms (2.2%)

Memory

12.5MiB live, 392.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
35	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
25	0	-	-	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
0	0	-	-	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	126	(-63.162596695399984 -1.3851398885126096e+209 6.213469761192875e-78)	-	`(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	126	1
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	35	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	overflow	25
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	25
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`	overflow	60
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	60
`*.f64`	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`	*no**	25	0

Confusion

	Predicted +	Predicted -
+	60	0
-	94	102

Precision

0.38961038961038963

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	0
-	94	1	101

Precision?

0.3870967741935484

Recall?

1.0

Freqs

test

number	freq
0	102
1	122
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

92.0ms

512×

valid

Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions

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

ival-cos: 15.0ms (30.1% of total)

ival-mult: 14.0ms (28.1% of total)

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

ival-sqrt: 6.0ms (12% of total)

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

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

exact: 1.0ms (2% of total)

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

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

preprocess163.0ms (1.5%)

Memory

-7.7MiB live, 237.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	222
1	198	216
2	588	216
3	2092	216
4	4743	216
0	17	24
0	28	24
1	52	24
2	114	24
3	314	24
4	1208	24
5	3653	24
6	7081	24
0	8238	24

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(.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

▶

77.8%

(*.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)

simplify144.0ms (1.3%)

Memory

19.8MiB live, 238.8MiB 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	52	110
2	114	110
3	314	110
4	1208	110
5	3653	110
6	7081	110
0	8238	110

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (0.6%)

Memory

1.0MiB live, 109.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.193691259768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	5.910036461967627	(.f64 (.f64 (.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	8.19351056380011	(sqrt.f64 (+.f64 #s(literal 1 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

54.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 15.0ms (51.2% of total)

ival-cos: 6.0ms (20.5% of total)

ival-div: 3.0ms (10.2% of total)

ival-sqrt: 2.0ms (6.8% of total)

ival-pow2: 2.0ms (6.8% of total)

ival-add: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

-12.1MiB live, 79.7MiB 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
7.0ms	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))
7.0ms	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))
7.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify214.0ms (2%)

Memory

20.4MiB live, 257.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	2498
1	1287	2382
2	6001	2373
0	8341	2242

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 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 3 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 (neg.f64 J) (.f64 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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(* 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 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(.f64 (fma.f64 (/.f64 #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)
(* -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 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 U J) (/.f64 U 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 #s(literal 1/4 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 U J) (/.f64 U 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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U 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 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))))) (.f64 K K) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 binary64))
(+ (* -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)))))))))))))
(fma.f64 (.f64 (.f64 K K) #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 #s(literal 1/2 binary64) J) (.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))))))) (.f64 K K) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal 1/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(+ (* -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 (.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))) (.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) J) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) J) (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (.f64 J J))) (.f64 (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))))) (.f64 K K) (fma.f64 (.f64 #s(literal -1/256 binary64) (/.f64 (.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) J (.f64 (.f64 #s(literal 1/2 binary64) J) (.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))) #s(literal -2 binary64)) (.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 (.f64 U U) J)) (.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) J) #s(literal 1/4 binary64))) (.f64 K K))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/4 binary64) J)) 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 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))
(+ 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 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) 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 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U 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) (.f64 U U)) (.f64 J J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U 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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 K K)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) (.f64 J J)))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U 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 (.f64 K K) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (.f64 U U)) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)) (.f64 J J))) (.f64 (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))) (.f64 K K)))) (.f64 (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 U U)) (.f64 J J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))))) (.f64 K K) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) (.f64 U U) (.f64 (.f64 U U) #s(literal 1/4 binary64))) (.f64 J J))
(+ (* 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 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) (.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (.f64 U U) J) (.f64 (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)) (.f64 K K))) (.f64 K K)))
(+ (* 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))))))))))
(+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 K K)) (.f64 U U) (.f64 (.f64 U U) #s(literal 1/4 binary64))) (.f64 J J)) (.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 K K) #s(literal -1/4 binary64)) (fma.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) (.f64 (.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(.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 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(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 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64))) (.f64 U U) (/.f64 #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 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)))) (.f64 U U) (/.f64 #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 #s(literal 1/1024 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 U 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 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) U)
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 U U)) (.f64 J J) (neg.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #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 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 U U)) (.f64 J J) (neg.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #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 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U)
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (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 (-.f64 (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 U U)) (.f64 J J) (neg.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #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))) (-.f64 (.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 U U)) (.f64 J J) (neg.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #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 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 U))

rewrite163.0ms (1.5%)

Memory

-28.7MiB live, 251.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	28	66
1	80	60
2	409	60
3	5573	60
0	8533	60

Stop Event

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

Counts

6 → 289

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

eval55.0ms (0.5%)

Memory: 15.5MiB live, 116.3MiB allocated
Compiler: Compiled 14 477 to 1 797 computations (87.6% saved)

prune40.0ms (0.4%)

Memory

-11.8MiB live, 35.2MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	366	14	380
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	367	14	381

Accuracy

99.9%

Counts

381 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	77.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (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)))))
	65.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
▶	77.8%	(.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) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
	74.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 U (/.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))))
▶	87.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
	10.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
▶	60.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	52.7%	(.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)))
	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
▶	50.7%	#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)))))
	10.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
	42.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
▶	39.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 990 to 708 computations (28.5% saved)

simplify100.0ms (0.9%)

Memory

21.9MiB live, 111.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
cost-diff	0	(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)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	507
0	89	507
1	165	507
2	426	507
3	1365	507
4	5083	507
0	8106	507

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

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

localize177.0ms (1.6%)

Memory

-22.2MiB live, 236.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.193691259768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy	5.910036461967627	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy	8.19351056380011	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
accuracy	0.0703125	(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	0.09765625	(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy	6.730507971747771	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
accuracy	29.403152967186266	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
accuracy	5.910036461967627	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
accuracy	6.7303509834658755	(/.f64 (*.f64 U U) J)
accuracy	8.18850428312375	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	10.640904316369555	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
accuracy	0.0	(neg.f64 U)
accuracy	38.77700483452851	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.170253759768442	(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
accuracy	2.152368323813132	(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
accuracy	5.910036461967627	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
accuracy	6.100213320217876	(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))

Samples

95.0ms

256×

valid

Compiler

Compiled 429 to 43 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 21.0ms (32.6% of total)

ival-cos: 15.0ms (23.3% of total)

ival-div: 13.0ms (20.2% of total)

ival-add: 3.0ms (4.7% of total)

ival-cosh: 3.0ms (4.7% of total)

ival-sqrt: 3.0ms (4.7% of total)

ival-asinh: 2.0ms (3.1% of total)

ival-pow2: 2.0ms (3.1% 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)

series245.0ms (2.3%)

Memory

11.6MiB live, 338.0MiB allocated

Counts

21 → 174

Calls

Call 1

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

Outputs
(* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* -1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* -1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))))))))))
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(+ (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 2))))
(+ (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 2))) (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))))) (pow U 4)))))
(+ (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 2))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))))) (pow U 6))) (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))))) (pow U 4))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))
(+ (log (* J (cos (* -1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))
(+ (log (* J (cos (* -1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (pow U 4))))))
(+ (log (* J (cos (* -1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (pow U 4)))))))
(* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (pow U 2))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))))
(* -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
53.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -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)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2))))) (/ (/ U (* 2 J)) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
42.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -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)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2))))) (/ (/ U (* 2 J)) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
33.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -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)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2))))) (/ (/ U (* 2 J)) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
31.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -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)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2))))) (/ (/ U (* 2 J)) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
18.0ms	J	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -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)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (cos (* -1/2 K)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2))))) (/ (/ U (* 2 J)) (cos (/ K -2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (/ (* U U) J) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify255.0ms (2.4%)

Memory

3.4MiB live, 242.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1309	22134
1	5044	20786
0	8273	19519

Stop Event

1×	iter limit
1×	node limit

Counts

174 → 173

Calls

Call 1

Inputs
(* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* -1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* -1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))))))))))
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(+ (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 2))))
(+ (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 2))) (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))))) (pow U 4)))))
(+ (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 2))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))))) (pow U 6))) (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))))) (pow U 4))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))
(+ (log (* J (cos (* -1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))
(+ (log (* J (cos (* -1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (pow U 4))))))
(+ (log (* J (cos (* -1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (pow U 4)))))))
(* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (pow U 2))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))))
(* -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)))))))

Outputs
(* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))
(.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (fma.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* -1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (.f64 U U) (.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) (.f64 (fma.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 U (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) J)
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
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(* -2 (* J (cos (* -1/2 K))))
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(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))) J))) J)
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(/ (+ (* 1/24 (/ (+ (* -3/4 (/ (pow U 4) (pow (cos (* -1/2 K)) 4))) (* 3/4 (/ (pow U 4) (pow (cos (* -1/2 K)) 4)))) (pow J 3))) (+ (* 1/6 (/ (+ (* -3/8 (/ (pow U 3) (pow (cos (* -1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* -1/2 K)) 3)))) (pow J 2))) (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))) J))))) J)
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(+ (* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 (.f64 (.f64 J J) (-.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))) U) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (fma.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))) (pow.f64 U #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))) (.f64 (/.f64 #s(literal -1 binary64) U) (/.f64 (.f64 (.f64 J J) (-.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))) U))) (+.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 J J)) (.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 5 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)))) #s(literal -720 binary64) (.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1200 binary64))) #s(literal 1/720 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (+.f64 (/.f64 (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) #s(literal -1/6 binary64) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 J J)) (.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (fma.f64 (.f64 J J) (fma.f64 (fma.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal 5 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)))) #s(literal -720 binary64) (.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1200 binary64))) #s(literal 1/720 binary64)) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))))) (pow.f64 U #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (fma.f64 (neg.f64 (pow.f64 J #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))) (pow.f64 U #s(literal 4 binary64))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -1/2 binary64))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))) (neg.f64 U))
(* -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 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))) (neg.f64 U))
(* -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 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 U))
(* -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 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) (neg.f64 U))

rewrite212.0ms (2%)

Memory

-14.3MiB live, 119.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	331
0	89	331
1	261	313
2	1629	313
0	8071	313

Stop Event

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

Counts

21 → 385

Calls

Call 1

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

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

eval187.0ms (1.7%)

Memory: 15.8MiB live, 157.0MiB allocated
Compiler: Compiled 44 479 to 3 182 computations (92.8% saved)

prune54.0ms (0.5%)

Memory

13.4MiB live, 60.8MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	646	20	666
Fresh	5	4	9
Picked	4	1	5
Done	0	0	0
Total	655	25	680

Accuracy

99.9%

Counts

680 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	77.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (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)))))
	39.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	74.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (/.f64 U #s(literal 2 binary64))))))
▶	87.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
	10.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
	65.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
	50.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	25.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	24.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
	35.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	77.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U)))
	54.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
	29.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) 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))))))
	11.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))) #s(literal 1 binary64)) (neg.f64 U)))
	10.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
	42.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
✓	39.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	29.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	26.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
	31.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
	5.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
	52.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
▶	42.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))

Compiler

Compiled 2 309 to 1 515 computations (34.4% saved)

simplify175.0ms (1.6%)

Memory

-23.6MiB live, 121.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	706
0	129	706
1	252	706
2	703	706
3	2410	704
0	8397	702

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

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

localize273.0ms (2.5%)

Memory

17.8MiB live, 208.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	0.193691259768442	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy	5.910036461967627	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy	8.19351056380011	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
accuracy	0.12890625	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
accuracy	0.24675751953688402	(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
accuracy	7.73231248885496	(.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))
accuracy	38.340311296591025	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U)))
accuracy	5.886598961967626	(.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))
accuracy	6.7303509834658755	(/.f64 (*.f64 U U) J)
accuracy	8.18850428312375	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	21.679542371289113	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	6.7303509834658755	(/.f64 (*.f64 U U) J)
accuracy	25.627095120522036	#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))
accuracy	29.403152967186266	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
accuracy	0.170253759768442	(/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	2.152368323813132	(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
accuracy	5.910036461967627	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
accuracy	6.100213320217876	(asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Samples

199.0ms

256×

valid

Compiler

Compiled 554 to 65 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-div: 48.0ms (33.8% of total)

ival-mult: 37.0ms (26% of total)

ival-cos: 20.0ms (14.1% of total)

ival-cosh: 15.0ms (10.6% of total)

ival-add: 7.0ms (4.9% of total)

ival-asinh: 4.0ms (2.8% of total)

ival-pow2: 4.0ms (2.8% of total)

ival-sqrt: 3.0ms (2.1% of total)

ival-neg: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series296.0ms (2.8%)

Memory

-10.1MiB live, 179.1MiB allocated

Counts

27 → 248

Calls

Call 1

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

Outputs
(* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) J)
(* -1/4 (/ (pow U 2) J))
(/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)
(/ (pow U 2) J)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* -1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* -1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* -1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -1 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* -1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* -1/2 K)) 2) (+ (* -24 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* -1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* -1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* -1/2 K)))) (* -1 (log J)))))))))))))))))))))
(* -1 J)
(/ U J)
(/ (+ U (* 2 (/ (pow J 2) U))) J)
(/ (+ U (* (pow J 2) (+ (* -2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U))))) J)
(/ (+ U (* (pow J 2) (+ (* (pow J 2) (- (* 4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U))))) J)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)
(pow J 2)
(+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))
(+ (log (/ U (cos (* 1/2 K)))) (+ (* -1 (log J)) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))
(+ (log (/ U (cos (* 1/2 K)))) (+ (* -1 (log J)) (* (pow J 2) (+ (* 1/24 (* (pow J 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))))) (/ (pow (cos (* 1/2 K)) 2) (pow U 2))))))
(+ (log (/ U (cos (* 1/2 K)))) (+ (* -1 (log J)) (* (pow J 2) (+ (* (pow J 2) (+ (* 1/720 (* (pow J 2) (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))))) (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))))) (/ (pow (cos (* 1/2 K)) 2) (pow U 2))))))
(* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))
(+ (* 1/2 (* (pow J 2) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))
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2
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1
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(+ (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))) (pow U 2))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* -1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* -1/2 K)) 6))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))))))))) (pow U 6))) (* -1 (/ (* J (* (cos (* 1/2 K)) (- (* (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* -1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* -1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 4)) (exp (+ (log (* J (cos (* -1/2 K)))) (log (/ -1 U))))))))))) (pow U 4))))))
(* -1 (/ (+ J (NAN)) U))
(* -1 (/ (+ J (+ (NAN) (/ (pow (NAN) 2) U))) U))
(* -1 (/ (+ J (+ (NAN) (* -1 (/ (- (* -1 (/ (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (pow (NAN) 2)) U)))) U))
(* -1 (/ (+ J (+ (NAN) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (+ (* -1 (/ (pow (NAN) 3) U)) (+ (* -1 (pow J 3)) (/ (pow (NAN) 2) U)))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (pow (NAN) 2)) U)))) U))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))
(* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* -1/2 (/ U (* J (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
50.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) -2) (neg U)) (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
44.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) -2) (neg U)) (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
21.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) -2) (neg U)) (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
17.0ms	U	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) -2) (neg U)) (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
16.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (+ (* (/ (* U U) J) -1/4) (* -2 J)) (/ (* U U) J) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) -2) (neg U)) (* (* J J) (/ (pow (cos (* -1/2 K)) 2) U)) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (/ (/ U (* 2 J)) (cos (/ K 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify311.0ms (2.9%)

Memory

32.7MiB live, 257.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1925	27403
1	7395	26115
0	9317	24672

Stop Event

1×	iter limit
1×	node limit

Counts

248 → 247

Calls

Call 1

Inputs
(* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
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(* -2 (* J (cos (* -1/2 K))))
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (/ (* (cos (* 1/2 K)) (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))))))) (cos (* -1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))))))) (cos (* -1/2 K)))))) (pow J 3)))))
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2
(+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))
(- (+ 2 (* -1 (/ (+ (* -1/2 (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2))))) (* -1/16 (pow U 3))) (pow J 3)))) (* -1/4 (/ (pow U 2) (pow J 2))))
(- (+ 2 (* -1 (/ (+ (* -1/2 (* U (+ (* -1/2 (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2))))) (* -1/16 (pow U 3))))) (* -1/8 (* (pow U 2) (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))))) (pow J 4)))) (+ (* -1/2 (/ (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 3))) (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* -1/16 (/ (pow U 3) (pow J 3))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J))) J)
(/ (+ (* 1/6 (/ (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))) (pow J 2))) (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J)))) J)
(/ (+ (* 1/24 (/ (+ (* -3/4 (/ (pow U 4) (pow (cos (* 1/2 K)) 4))) (* 3/4 (/ (pow U 4) (pow (cos (* 1/2 K)) 4)))) (pow J 3))) (+ (* 1/6 (/ (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3)))) (pow J 2))) (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) J))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
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(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
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(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
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(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))
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(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* -1/2 (/ U (* J (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 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
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(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (/ (* (cos (* 1/2 K)) (+ (* -1 (* (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (+ (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K)))) (+ (* 1/48 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (cos (* 1/2 K))))))))) (cos (* 1/2 K)))) (* -1/2 (/ (* U (+ (* 1/48 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (cos (* 1/2 K))))))) (cos (* 1/2 K))))))) (pow J 4)) (/ (* (cos (* 1/2 K)) (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K)))))) (pow J 3))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64))))) J)
(* -2 (* J (cos (* -1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* 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 (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) J)
(* J (- (+ (* -1/2 (/ (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 3))) (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* -1/16 (/ (pow U 3) (pow J 3))))) 2))
(.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 U U) #s(literal -1/8 binary64)) U) (pow.f64 J #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) J) (.f64 (pow.f64 (/.f64 U J) #s(literal 3 binary64)) #s(literal -1/16 binary64)))) #s(literal 2 binary64)) J)
(* J (- (+ (* -1/2 (/ (* U (+ (* -1/2 (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2))))) (* -1/16 (pow U 3)))) (pow J 4))) (+ (* -1/2 (/ (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 3))) (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/8 (/ (* (pow U 2) (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 4))) (* -1/16 (/ (pow U 3) (pow J 3))))))) 2))
(.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 U #s(literal 3 binary64)) (.f64 (.f64 (.f64 (.f64 U U) #s(literal -1/8 binary64)) U) #s(literal -1/2 binary64))) U) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 U U) #s(literal -1/8 binary64)) U) (pow.f64 J #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) J) (fma.f64 (/.f64 (.f64 (.f64 (.f64 U U) #s(literal -1/8 binary64)) (.f64 U U)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 3 binary64)) #s(literal -1/16 binary64))))) #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))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.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)))) (/ (* (cos (* 1/2 K)) (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))))))) (cos (* -1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))))))) (cos (* -1/2 K)))))) (pow J 3)))))
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(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))
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(fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) (/.f64 (-.f64 (neg.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 J J))) (neg.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (/.f64 (.f64 J J) (/.f64 #s(literal -1 binary64) U))))) (.f64 U U))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal -1/24 binary64) (.f64 J J)) (.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 #s(literal 5 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) #s(literal -720 binary64) (.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1200 binary64))) #s(literal 1/720 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 J J)) (.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 5 binary64) (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) #s(literal -720 binary64) (.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1200 binary64))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 1/720 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) U)) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))))) (pow.f64 U #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) U)) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))) (pow.f64 U #s(literal 4 binary64))))))
(* -1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal -1/2 binary64))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U 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 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))))

rewrite334.0ms (3.1%)

Memory

-10.8MiB live, 185.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	518
0	129	515
1	415	500
2	2994	500
0	8112	498

Stop Event

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

Counts

27 → 451

Calls

Call 1

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

Outputs
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(.f64 (.f64 J #s(literal -2 binary64)) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal 2 binary64))
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(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
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(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 J #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 (.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 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) J)))
(*.f64 (neg.f64 J) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(+.f64 (neg.f64 J) (neg.f64 J))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))))
#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) #s(literal 2 binary64))) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 J #s(literal 3 binary64)))) (fma.f64 (pow.f64 (/.f64 (.f64 U U) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 4 binary64) (.f64 J J) (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 J J)))) (neg.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) J))))
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(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 J J))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal 2 binary64) J)))
(/.f64 (fma.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) J) #s(literal 3 binary64)) (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 J J) (-.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) J) #s(literal -2 binary64)))))
(/.f64 (fma.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) J) #s(literal 3 binary64)) (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (.f64 U U) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
(fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U J) (.f64 J #s(literal -2 binary64)))
(fma.f64 (neg.f64 J) #s(literal 2 binary64) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))
(fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 J #s(literal -2 binary64)))
(fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J) (.f64 J #s(literal -2 binary64)))
(fma.f64 U (.f64 (/.f64 U J) #s(literal -1/4 binary64)) (.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 J) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))
(fma.f64 J #s(literal -2 binary64) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -2 binary64) J (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))
(-.f64 (-.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) J) J)
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(-.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (*.f64 (neg.f64 J) #s(literal -2 binary64)))
(-.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) J))
(-.f64 (.f64 J #s(literal -2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 U U) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))) (/.f64 (pow.f64 (.f64 J #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 U U) J) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (.f64 J #s(literal -2 binary64)) (-.f64 (.f64 J #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))))))
(+.f64 (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)) (*.f64 J #s(literal -2 binary64)))
(+.f64 (.f64 J #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 U) (/.f64 (neg.f64 U) J))
(*.f64 (/.f64 U J) U)
(*.f64 U (/.f64 U J))
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 J))
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 J)))
(/.f64 (*.f64 U U) J)
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(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 U (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)))
(/.f64 (.f64 (/.f64 U (.f64 J #s(literal -2 binary64))) (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (.f64 #s(literal 2 binary64) J))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)))
(/.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 U (.f64 J #s(literal -2 binary64)))) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (neg.f64 U) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (neg.f64 U)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (pow.f64 (/.f64 U (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 U (.f64 J #s(literal -2 binary64))) (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 U (.f64 J #s(literal -2 binary64))) U) (.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (/.f64 U (.f64 J #s(literal -2 binary64)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (pow.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (pow.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) U) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (.f64 U (/.f64 U (.f64 J #s(literal -2 binary64)))) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 U (/.f64 U (.f64 #s(literal 2 binary64) J))) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))))
(/.f64 (.f64 U U) (fabs.f64 (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)))))
(/.f64 (.f64 U U) (fabs.f64 (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))))))
(/.f64 (.f64 U U) (fabs.f64 (pow.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 U U) (fabs.f64 (pow.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
(/.f64 (.f64 U U) (pow.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 U U) (pow.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))

eval203.0ms (1.9%)

Memory: 2.0MiB live, 187.3MiB allocated
Compiler: Compiled 60 921 to 4 511 computations (92.6% saved)

prune76.0ms (0.7%)

Memory

-13.5MiB live, 94.6MiB allocated

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	733	15	748
Fresh	3	16	19
Picked	4	1	5
Done	0	1	1
Total	740	33	773

Accuracy

100.0%

Counts

773 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	77.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (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)))))
	39.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	74.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (/.f64 U #s(literal 2 binary64))))))
▶	87.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J))))))
	65.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
	50.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	25.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	24.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
	35.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
✓	77.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
	10.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))))
	40.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) J) #s(literal -2 binary64) (neg.f64 U)))
	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
	27.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K)) #s(literal 1/4 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
	30.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
	54.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
	29.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) 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))))))
	10.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
	42.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
✓	39.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	31.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
▶	26.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
	31.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
	5.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
	52.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	4.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
▶	42.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J))))
	46.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 (/.f64 U J) U) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
	8.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))
	2.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
	33.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
▶	30.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))

Compiler

Compiled 3 303 to 2 107 computations (36.2% saved)

simplify114.0ms (1.1%)

Memory

15.3MiB live, 160.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J))))
cost-diff	1	(fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J)))
cost-diff	2	(.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J))
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(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
cost-diff	2	(fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))
cost-diff	2	(fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))
cost-diff	0	#s(approx (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))
cost-diff	0	(neg.f64 J)
cost-diff	0	(.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	797
0	130	793
1	262	792
2	696	789
3	2304	786
0	8058	773

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

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

localize218.0ms (2%)

Memory

1.1MiB live, 326.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.886598961967626	(fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J)))
accuracy	6.7303509834658755	(/.f64 (*.f64 U U) J)
accuracy	8.18850428312375	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy	21.679542371289113	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J))))
accuracy	0.1171875	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	5.910036461967627	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
accuracy	10.640904316369555	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
accuracy	31.3618922276417	#s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
accuracy	6.228627580350279	(fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))
accuracy	6.7303509834658755	(/.f64 (*.f64 U U) J)
accuracy	27.51153520650793	#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))))
accuracy	29.403152967186266	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
accuracy	0.0	(neg.f64 J)
accuracy	5.886598961967626	(.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64)))
accuracy	21.679542371289113	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
accuracy	30.095927009024216	#s(approx (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))
accuracy	0.1171875	(.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))
accuracy	2.152368323813132	(cosh.f64 (asinh.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J)))))
accuracy	5.910036461967627	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J))))))
accuracy	6.100213320217876	(asinh.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))

Samples

134.0ms

256×

valid

Compiler

Compiled 597 to 71 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-mult: 35.0ms (33.1% of total)

ival-div: 22.0ms (20.8% of total)

ival-cos: 19.0ms (18% of total)

ival-add: 9.0ms (8.5% of total)

ival-cosh: 5.0ms (4.7% of total)

ival-asinh: 4.0ms (3.8% of total)

ival-pow: 4.0ms (3.8% of total)

ival-sqrt: 3.0ms (2.8% of total)

ival-pow2: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

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

series164.0ms (1.5%)

Memory

-21.3MiB live, 269.1MiB allocated

Counts

24 → 285

Calls

Call 1

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

Outputs
(* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))
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(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))
(* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* -1/2 (/ U (* J (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
50.0ms	K	@	inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J)) (+ (* (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (neg J)) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (asinh (/ U (* (cos (/ K 2)) (* 2 J)))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cos (/ K 2)) (* 2 J)) (/ (* U U) J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))
24.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J)) (+ (* (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (neg J)) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (asinh (/ U (* (cos (/ K 2)) (* 2 J)))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cos (/ K 2)) (* 2 J)) (/ (* U U) J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))
22.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J)) (+ (* (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (neg J)) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (asinh (/ U (* (cos (/ K 2)) (* 2 J)))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cos (/ K 2)) (* 2 J)) (/ (* U U) J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))
12.0ms	J	@	inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J)) (+ (* (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (neg J)) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (asinh (/ U (* (cos (/ K 2)) (* 2 J)))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cos (/ K 2)) (* 2 J)) (/ (* U U) J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))
10.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (* (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))))) (neg J) (+ (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J)) (+ (* (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (neg J)) (* (pow (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) -1) (neg J))) (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (asinh (/ U (* (cos (/ K 2)) (* 2 J)))) (cosh (asinh (/ U (* (cos (/ K 2)) (* 2 J))))) (* (cos (/ K 2)) (* 2 J)) (/ (* U U) J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)))

simplify289.0ms (2.7%)

Memory

-0.6MiB live, 354.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2129	28433
0	8097	26899

Stop Event

1×	iter limit
1×	node limit

Counts

285 → 284

Calls

Call 1

Inputs
(* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))
(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))
(* -2 (* J (cos (* 1/2 K))))
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(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))
(+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* -1/2 (/ U (* J (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 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
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(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))
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(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))
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(* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (/ (* (cos (* 1/2 K)) (+ (* -1 (* (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (+ (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K)))) (+ (* 1/48 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (cos (* 1/2 K))))))))) (cos (* 1/2 K)))) (* -1/2 (/ (* U (+ (* 1/48 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (cos (* 1/2 K))))))) (cos (* 1/2 K))))))) (pow J 4)) (/ (* (cos (* 1/2 K)) (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K)))))) (pow J 3))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (/ (* (cos (* 1/2 K)) (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))))))) (cos (* -1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))))))) (cos (* -1/2 K)))))) (pow J 3)))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (/ (* (cos (* 1/2 K)) (+ (* -1 (* (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))))))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))))))) (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))))))) (cos (* -1/2 K)))) (+ (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))))))) (cos (* -1/2 K)))) (+ (* 1/48 (/ (pow U 3) (pow (cos (* -1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* -1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* -1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))))) (cos (* -1/2 K))))))))) (cos (* -1/2 K)))) (* -1/2 (/ (* U (+ (* 1/48 (/ (pow U 3) (pow (cos (* -1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* -1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* -1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))))) (cos (* -1/2 K))))))) (cos (* -1/2 K))))))) (pow J 4)) (/ (* (cos (* 1/2 K)) (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))))))) (cos (* -1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))))))) (cos (* -1/2 K)))))) (pow J 3))))))
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(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(.f64 (-.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J J)) #s(literal 2 binary64)) J)
(* J (- (+ (* -1/2 (/ (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 3))) (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* -1/16 (/ (pow U 3) (pow J 3))))) 2))
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(* J (- (+ (* -1/2 (/ (* U (+ (* -1/2 (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2))))) (* -1/16 (pow U 3)))) (pow J 4))) (+ (* -1/2 (/ (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 3))) (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/8 (/ (* (pow U 2) (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 4))) (* -1/16 (/ (pow U 3) (pow J 3))))))) 2))
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2
#s(literal 2 binary64)
(+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 2 binary64))
(- (+ 2 (* -1 (/ (+ (* -1/2 (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2))))) (* -1/16 (pow U 3))) (pow J 3)))) (* -1/4 (/ (pow U 2) (pow J 2))))
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(- (+ 2 (* -1 (/ (+ (* -1/2 (* U (+ (* -1/2 (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2))))) (* -1/16 (pow U 3))))) (* -1/8 (* (pow U 2) (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))))) (pow J 4)))) (+ (* -1/2 (/ (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 3))) (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* -1/16 (/ (pow U 3) (pow J 3))))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) U) (fma.f64 #s(literal -1/16 binary64) (pow.f64 U #s(literal 3 binary64)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 U U)) U) #s(literal -1/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 U U)) (.f64 #s(literal -1/8 binary64) (.f64 U U)))) (pow.f64 J #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 U U)) U) (pow.f64 J #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 3 binary64)) #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (.f64 J J)))))
(* J (- (* 1/4 (pow K 2)) 2))
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(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (pow K 2)))) 2))
(.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/4 binary64) (-.f64 (fma.f64 (.f64 (.f64 K K) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1/32 binary64) (.f64 (*.f64 K K) #s(literal 1/4 binary64))) #s(literal 2 binary64))) J)
(* 1/4 (* J (pow K 2)))
(.f64 (.f64 (*.f64 K K) J) #s(literal 1/4 binary64))
(* J (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (pow K 2)))))
(.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal -1/4 binary64) (fma.f64 (.f64 (.f64 K K) (/.f64 (.f64 U U) (.f64 J J))) #s(literal -1/32 binary64) (.f64 (*.f64 K K) #s(literal 1/4 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)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
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(* -2 (* J (cos (* -1/2 K))))
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(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
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(* J (- (* 1/2 (/ U J)) 1))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 1 binary64)) J)
(* J (- (* -1 (/ (+ (* -1/8 (pow U 2)) (* 1/4 (pow U 2))) (pow J 2))) (+ 1 (* -1/2 (/ U J)))))
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(* J (- (* -1 (/ (+ (* -1/2 (* U (+ (* -1/8 (pow U 2)) (* 1/4 (pow U 2))))) (* 1/16 (pow U 3))) (pow J 3))) (+ 1 (+ (* -1/2 (/ U J)) (+ (* -1/8 (/ (pow U 2) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
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(* J (- (+ (* -1/2 (/ U J)) (* 1/2 (/ U J))) 2))
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(* J (- (+ (* -1/2 (/ U J)) (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (* 1/2 (/ U J)))))) 2))
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(* J (- (+ (* -1/2 (/ U J)) (+ (* -1/2 (/ (* U (+ (* -1/4 (pow U 2)) (* 1/8 (pow U 2)))) (pow J 3))) (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/16 (/ (pow U 3) (pow J 3))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (* 1/2 (/ U J)))))))) 2))
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1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ U J)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 U J) #s(literal 1 binary64))
(+ 1 (+ (* 1/8 (/ (pow U 2) (pow J 2))) (* 1/2 (/ U J))))
(+.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/8 (/ (pow U 2) (pow J 2))) (* 1/2 (/ U J)))))
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binary64) K)) J))))) #s(literal 1/720 binary64) (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) (fma.f64 (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))))) (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))))))))) (pow.f64 U #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) #s(literal 1/24 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))) (fma.f64 (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))) #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 36 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))))))) (pow.f64 U #s(literal 4 binary64))))))
(* -1/2 (/ U J))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(.f64 (neg.f64 U) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(* -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 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 U U)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))))

rewrite203.0ms (1.9%)

Memory

23.6MiB live, 215.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	637
0	130	633
1	429	623
2	3128	623
0	8175	621

Stop Event

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

Counts

24 → 253

Calls

Call 1

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

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

eval181.0ms (1.7%)

Memory: -31.5MiB live, 198.0MiB allocated
Compiler: Compiled 64 175 to 3 813 computations (94.1% saved)

prune83.0ms (0.8%)

Memory

10.1MiB live, 104.3MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	651	14	665
Fresh	7	19	26
Picked	4	1	5
Done	0	2	2
Total	662	36	698

Accuracy

100.0%

Counts

698 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	77.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (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)))))
	23.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	23.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	74.7%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (/.f64 U #s(literal 2 binary64))))))
	65.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
	46.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64)))))
	24.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
	21.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	21.6%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	87.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))))
	25.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
✓	77.8%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
	10.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))))
	25.9%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
	25.9%	(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
	40.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) J) #s(literal -2 binary64) (neg.f64 U)))
	38.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
	30.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
	54.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
	29.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) 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))))))
	10.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
	37.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
✓	39.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 J #s(literal -2 binary64))))))
	31.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	31.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
	52.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	4.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
	3.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K)))))
	28.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
	42.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) J)))
	46.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 (/.f64 U J) U) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
	8.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))
	2.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
✓	30.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))

Compiler

Compiled 4 987 to 1 602 computations (67.9% saved)

regimes189.0ms (1.8%)

Memory

23.0MiB live, 167.2MiB allocated

Counts

64 → 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))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K)) #s(literal 1/4 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 (/.f64 U J) U) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 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))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) 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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) J) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (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 -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (/.f64 U #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) (.f64 U (/.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 U (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 2 binary64) J))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
(.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 U U) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (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

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

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

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

Calls

6 calls:

45.0ms	(/.f64 K #s(literal 2 binary64))
42.0ms	(.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)))))
34.0ms	J
32.0ms	K
17.0ms	U

Results

Accuracy	Segments	Branch
87.3%	1	`(/.f64 K #s(literal 2 binary64))`
87.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
99.9%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
87.3%	1	`J`
87.3%	1	`K`
87.3%	1	`U`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes106.0ms (1%)

Memory

-9.8MiB live, 139.1MiB allocated

Counts

52 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K)) #s(literal 1/4 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 (/.f64 U J) U) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 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))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) 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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) J) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (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 -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #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)))) (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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))) #s(literal 1 binary64)) (neg.f64 U)))

Calls

6 calls:

24.0ms	(/.f64 K #s(literal 2 binary64))
21.0ms	J
19.0ms	(.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)))))
13.0ms	K
13.0ms	U

Results

Accuracy	Segments	Branch
72.3%	2	`J`
77.9%	2	`U`
70.5%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
69.2%	3	`(/.f64 K #s(literal 2 binary64))`
69.2%	3	`K`
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 34 to 37 computations (-8.8% saved)

regimes18.0ms (0.2%)

Memory

-8.8MiB live, 35.3MiB allocated

Counts

51 → 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))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K)) #s(literal 1/4 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 (/.f64 U J) U) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 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))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) 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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) J) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (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 -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal -2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) (.f64 J J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))

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 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))

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

Calls

1 calls:

15.0ms

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

Results

Accuracy	Segments	Branch
87.5%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.1%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

43 → 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))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K)) #s(literal 1/4 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 (/.f64 U J) U) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 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))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) 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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) J) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (pow.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 J))))

Outputs

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

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

Calls

1 calls:

10.0ms

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes28.0ms (0.3%)

Memory

-44.3MiB live, 54.6MiB allocated

Counts

36 → 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))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K)) #s(literal 1/4 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (.f64 (/.f64 U J) U) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal 1/2 binary64)))) (.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (fma.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (neg.f64 J) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.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))))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (neg.f64 K) (PI.f64)) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/8 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))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (+.f64 (/.f64 J (.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))

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

Calls

2 calls:

13.0ms

9.0ms

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

Results

Accuracy	Segments	Branch
72.9%	3	`U`
78.6%	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)

regimes8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

24 → 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))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K)) #s(literal 1/4 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (.f64 U U)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))

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

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
76.8%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes36.0ms (0.3%)

Memory

-8.5MiB live, 84.1MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (/.f64 U J) U) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (.f64 U U) (.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/1440 binary64) (.f64 K K) #s(literal 1/48 binary64)) (.f64 K K)) #s(literal 1/4 binary64)) (.f64 K K) #s(literal 1 binary64))) U)) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(literal -2 binary64) J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/32 binary64) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 J #s(literal -2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) #s(approx (sqrt (+ ( (/ 1/4 J) (/ (* U U) J)) 1)) (.f64 (/.f64 U J) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))))))

Outputs

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

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

Calls

6 calls:

7.0ms	J
7.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
5.0ms	U
5.0ms	K

Results

Accuracy	Segments	Branch
49.9%	2	`(/.f64 K #s(literal 2 binary64))`
49.9%	2	`K`
49.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
59.8%	2	`U`
52.7%	3	`J`
59.6%	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 34 to 37 computations (-8.8% saved)

regimes8.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 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)))))

3.0ms

Results

Accuracy	Segments	Branch
58.8%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
58.2%	3	`U`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-27.4MiB live, 19.2MiB allocated

Counts

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

Outputs

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

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

Calls

2 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)))))

3.0ms

Results

Accuracy	Segments	Branch
49.9%	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)))))`
54.7%	2	`U`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

5 → 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))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K -2)))))) (.f64 (neg.f64 J) #s(approx (+ (+ ( (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (/ 1 (+ (* (/ U J) 1/2) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))))) (/.f64 U J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* -2 J) (+ (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) (* K K)) (* (/ (* U U) J) -1/4))) (.f64 (-.f64 (.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) #s(approx (+ (* (/ (* U U) J) -1/4) (* -2 J)) (.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64)))))

Outputs

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
54.4%	2	`U`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB 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

6 calls:

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

Results

Accuracy	Segments	Branch
39.4%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
39.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
39.4%	1	`(/.f64 K #s(literal 2 binary64))`
39.4%	1	`K`
39.4%	1	`J`
39.4%	1	`U`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9054046863824356e+295	+inf
0.0ms	-inf	-7.685353383271176e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.107732421169388e+294	1.9054046863824356e+295
0.0ms	-inf	-7.685353383271176e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.9054046863824356e+295	+inf
0.0ms	-inf	-7.685353383271176e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-7.685353383271176e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-2.31799421072298e-248	-3.32256282743026e-249
0.0ms	-2.0411143236936573e+95	-6.2692128134525744e+94
0.0ms	-inf	-7.685353383271176e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-7.083631226366714e-245	-2.31799421072298e-248
0.0ms	-2.0411143236936573e+95	-6.2692128134525744e+94
0.0ms	-inf	-7.685353383271176e+307

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch18.0ms (0.2%)

Memory

-2.9MiB live, 47.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.3086972874361458e+55	7.486911362046473e+55

Samples

13.0ms

80×

valid

Compiler

Compiled 362 to 268 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-cos: 6.0ms (56.6% of total)

ival-mult: 2.0ms (18.9% of total)

ival-div: 1.0ms (9.4% of total)

ival-pow2: 1.0ms (9.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory

-37.5MiB live, 56.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3086972874361458e+55	7.486911362046473e+55
20.0ms	1.5373970941695752e-137	3.9924504541394685e-133

Samples

15.0ms

128×

valid

Compiler

Compiled 1 138 to 788 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (43.7% of total)

ival-cos: 2.0ms (17.5% of total)

ival-div: 1.0ms (8.7% of total)

ival-add: 1.0ms (8.7% of total)

ival-sqrt: 1.0ms (8.7% of total)

ival-pow2: 1.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	7.500390323098185e-50	8.872935715688949e-49

Samples

10.0ms

96×

valid

Compiler

Compiled 531 to 359 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.6% of total)

ival-cos: 2.0ms (26.4% of total)

ival-div: 1.0ms (13.2% of total)

ival-sqrt: 1.0ms (13.2% of total)

ival-pow2: 1.0ms (13.2% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.500390323098185e-50	8.872935715688949e-49

Compiler

Compiled 585 to 365 computations (37.6% saved)

simplify80.0ms (0.7%)

Memory

9.1MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	1415
1	259	1415
2	504	1415
3	1317	1415
4	4241	1415

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 19999999999999999626973554412460083155631121439641162660196967440893695766559001679768595453565709161474725394008045163145540587374089871820031057920336098997774414447880409368397792528912679316975775902969160009805517042200828928981967925226381671772486580520849455849141021060282761167690006528 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

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

soundness2.2s (20.2%)

Memory

-108.3MiB live, 1 606.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	518
0	129	515
1	415	500
2	2994	500
0	8112	498
0	55	331
0	89	331
1	261	313
2	1629	313
0	8071	313
0	1309	22134
1	5044	20786
0	8273	19519
0	1925	27403
1	7395	26115
0	9317	24672
0	2129	28433
0	8097	26899
0	360	2498
1	1287	2382
2	6001	2373
0	8341	2242
0	17	66
0	28	66
1	80	60
2	409	60
3	5573	60
0	8533	60

Stop Event

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

Compiler

Compiled 2 149 to 696 computations (67.6% saved)

preprocess157.0ms (1.5%)

Memory: 30.0MiB live, 261.0MiB allocated
Remove: (abs K)
Compiler: Compiled 4 488 to 994 computations (77.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze442.0ms (4.1%)

sample2.1s (19.8%)

explain235.0ms (2.2%)

preprocess163.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify144.0ms (1.3%)

localize64.0ms (0.6%)

series40.0ms (0.4%)

simplify214.0ms (2%)

rewrite163.0ms (1.5%)

eval55.0ms (0.5%)

prune40.0ms (0.4%)

simplify100.0ms (0.9%)

localize177.0ms (1.6%)

series245.0ms (2.3%)

simplify255.0ms (2.4%)

rewrite212.0ms (2%)

eval187.0ms (1.7%)

prune54.0ms (0.5%)

simplify175.0ms (1.6%)

localize273.0ms (2.5%)

series296.0ms (2.8%)

simplify311.0ms (2.9%)

rewrite334.0ms (3.1%)

eval203.0ms (1.9%)

prune76.0ms (0.7%)

simplify114.0ms (1.1%)

localize218.0ms (2%)

series164.0ms (1.5%)

simplify289.0ms (2.7%)

rewrite203.0ms (1.9%)

eval181.0ms (1.7%)

prune83.0ms (0.8%)

regimes189.0ms (1.8%)

regimes106.0ms (1%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes28.0ms (0.3%)

regimes8.0ms (0.1%)

regimes36.0ms (0.3%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch25.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch1.0ms (0%)

simplify80.0ms (0.7%)

soundness2.2s (20.2%)

preprocess157.0ms (1.5%)

end0.0ms (0%)

Profiling