Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze467.0ms (4.6%)

Memory

0.5MiB live, 766.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.8s (17.9%)

Memory

49.2MiB live, 2 474.4MiB allocated

Samples

1.4s

8 256×

valid

Precisions

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

ival-mult: 367.0ms (35.7% of total)

ival-cos: 254.0ms (24.7% of total)

ival-div: 156.0ms (15.2% of total)

ival-pow2: 103.0ms (10% of total)

ival-add: 68.0ms (6.6% of total)

ival-sqrt: 56.0ms (5.5% of total)

exact: 12.0ms (1.2% of total)

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

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain296.0ms (2.9%)

Memory

-17.6MiB live, 186.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
37	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))))`
29	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	132	(-1.416948488781759e+58 1.2247459733207371e+141 5.114776346990706e-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	132	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	37	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	29
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	29
↳	`(+.f64 #s(literal 1 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	66
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	66
`*.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**	29	0

Confusion

	Predicted +	Predicted -
+	66	0
-	91	99

Precision

0.42038216560509556

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	91	0	99

Precision?

0.42038216560509556

Recall?

1.0

Freqs

test

number	freq
0	99
1	116
2	41

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

102.0ms

512×

valid

Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 50.0ms (61.7% of total)

ival-cos: 11.0ms (13.6% of total)

ival-div: 7.0ms (8.6% of total)

ival-pow2: 5.0ms (6.2% of total)

ival-sqrt: 3.0ms (3.7% of total)

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

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess174.0ms (1.7%)

Memory

-7.1MiB live, 81.1MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.4%	(.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)))))

Status

Accuracy

Program

▶

75.4%

(*.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)

simplify164.0ms (1.6%)

Memory

-15.2MiB live, 82.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	110
0	28	110
1	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)

localize48.0ms (0.5%)

Memory

43.7MiB live, 86.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.24609375	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	6.8366711253894294	(.f64 (.f64 (.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	8.670559571785693	(sqrt.f64 (+.f64 #s(literal 1 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

37.0ms

256×

valid

Compiler

Compiled 112 to 19 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (35.4% of total)

ival-cos: 6.0ms (26.5% of total)

ival-div: 3.0ms (13.3% of total)

ival-sqrt: 2.0ms (8.8% of total)

ival-pow2: 2.0ms (8.8% of total)

ival-add: 1.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory

-27.6MiB live, 63.0MiB 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
28.0ms	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))
9.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	K	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
6.0ms	K	@	-inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
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))

simplify246.0ms (2.4%)

Memory

32.3MiB live, 223.3MiB 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))

rewrite197.0ms (1.9%)

Memory

-26.0MiB live, 164.2MiB 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))))

eval103.0ms (1%)

Memory: -35.6MiB live, 85.8MiB allocated
Compiler: Compiled 14 477 to 1 797 computations (87.6% saved)

prune20.0ms (0.2%)

Memory

41.3MiB live, 41.3MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	363	17	380
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	364	17	381

Accuracy

99.9%

Counts

381 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(.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)))))
	31.8%	(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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)))))
	75.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	75.4%	(.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)))))
	75.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.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 (.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))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.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)))))
▶	7.9%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
	64.6%	(.f64 (.f64 (.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)))))
▶	75.4%	(.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) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶	28.0%	(.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))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
	9.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
	59.7%	(.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	55.7%	(.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)))
▶	35.4%	#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)))
	54.2%	#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)))))
	10.0%	#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)))
	41.6%	#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)))
▶	36.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 1 344 to 902 computations (32.9% saved)

simplify141.0ms (1.4%)

Memory

-26.7MiB live, 117.5MiB 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)))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
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))) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
cost-diff	0	(*.f64 J J)
cost-diff	0	(.f64 (.f64 J J) #s(literal -2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
cost-diff	0	(neg.f64 U)
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	595
0	97	595
1	172	595
2	444	595
3	1335	595
4	4842	595
0	8171	595

Stop Event

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

Calls

Call 1

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

localize204.0ms (2%)

Memory

24.8MiB live, 245.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.776544096754483	(sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))))
accuracy	6.8249523753894294	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
accuracy	8.666653321785693	(sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))
accuracy	14.514309571785693	(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))))
accuracy	0.0625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.0703125	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
accuracy	6.8249523753894294	(.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)))))
accuracy	6.932795447006661	#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))))
accuracy	0.0546875	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
accuracy	0.1171875	(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
accuracy	2.017434043655243	(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
accuracy	6.721895710507474	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
accuracy	0.0	(neg.f64 U)
accuracy	6.918595453534902	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.0625	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.109375	(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	6.8249523753894294	(.f64 (.f64 (.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	8.666653321785693	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))

Samples

79.0ms	142×	0	invalid
45.0ms	114×	0	valid

Compiler

Compiled 521 to 47 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 19.0ms (27.2% of total)

ival-cos: 16.0ms (22.9% of total)

ival-div: 13.0ms (18.6% of total)

ival-pow2: 7.0ms (10% of total)

ival-add: 5.0ms (7.2% of total)

ival-sqrt: 5.0ms (7.2% of total)

ival-pow: 3.0ms (4.3% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series219.0ms (2.2%)

Memory

-10.5MiB live, 272.5MiB allocated

Counts

21 → 169

Calls

Call 1

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

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)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(* -2 (pow J 2))
(pow J 2)
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/2 (/ 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 (/ (* (pow J 2) (cos (* -1/2 K))) U)) (* 1/2 (/ U (cos (* -1/2 K))))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (cos (* -1/2 K)) U)) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3)))))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))) (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3)))))))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(/ (+ (* -2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* (pow J 4) (+ (* -8 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2)))))) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* (pow J 4) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (* (pow J 4) (+ (* -64 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 10)) (pow U 10))) (* -8 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))))) (pow J 2))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(sqrt -1)
(+ (sqrt -1) (* 1/8 (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (sqrt -1) 3))))) (* 1/8 (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1)))))))
(+ (sqrt -1) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (sqrt -1) 3))))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (* (pow (cos (* -1/2 K)) 6) (pow (sqrt -1) 5))))) (* 1/8 (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1))))))))
(+ (sqrt -1) (* 1/32 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/2048 (/ (pow U 8) (* (pow J 8) (* (pow (cos (* -1/2 K)) 8) (pow (sqrt -1) 3))))) (* 1/32 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1)))))))
(+ (sqrt -1) (+ (* -1/2048 (/ (pow U 8) (* (pow J 8) (* (pow (cos (* -1/2 K)) 8) (pow (sqrt -1) 3))))) (+ (* 1/65536 (/ (pow U 12) (* (pow J 12) (* (pow (cos (* -1/2 K)) 12) (pow (sqrt -1) 5))))) (* 1/32 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 J) (* 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)))
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(* -2 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
(+ (* -2 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/2 (* (* J (- (* 1/32 (/ (pow U 4) (* (pow J 4) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (/ (* (pow U 2) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow J 2) (pow (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2)))))) (sqrt (/ (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)))))))))
(+ (* -2 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* 1/32 (/ (pow U 4) (* (pow J 4) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (/ (* (pow U 2) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow J 2) (pow (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2)))))) (sqrt (/ (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (+ (* 1/384 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/2 (* (* J (- (* -1/16 (/ (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4)))) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))) (+ (* -1/4 (/ (* (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (pow (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))) (+ (* 1/16 (/ (* (pow U 2) (- (* 1/32 (/ (pow U 4) (* (pow J 4) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (/ (* (pow U 2) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow J 2) (pow (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2)))))) (* (pow J 2) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/4 (/ (* (pow (- (* 1/32 (/ (pow U 4) (* (pow J 4) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (/ (* (pow U 2) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow J 2) (pow (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2))))) 2) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))) (sqrt (/ (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))))) (* -2 (+ (* -1/8 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/2 (* (* J (- (* 1/32 (/ (pow U 4) (* (pow J 4) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (/ (* (pow U 2) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow J 2) (pow (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2)))))) (sqrt (/ (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))))))
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(sqrt (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))
(+ (sqrt (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))
(+ (sqrt (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 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) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))
(+ (sqrt (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* (pow K 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) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* (pow J 2) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/2 (* (- (* -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) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))))
(sqrt (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))
(+ (sqrt (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* 1/64 (* (/ (* (pow K 2) (pow U 4)) (pow J 4)) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))
(+ (sqrt (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow K 2) (+ (* 1/64 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (* 1/2 (* (* (pow K 2) (- (* -1/16 (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4))))) (* 1/4096 (/ (pow U 8) (* (pow J 8) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)))))) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))))
(+ (sqrt (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow K 2) (+ (* 1/64 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (* (pow K 2) (+ (* 1/2 (* (* (pow K 2) (- (* -1/16 (+ (* -17/1440 (/ (pow U 4) (pow J 4))) (+ (* 5/96 (/ (pow U 4) (pow J 4))) (* 1/2 (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4)))))))) (* 1/64 (/ (* (pow U 4) (- (* -1/16 (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4))))) (* 1/4096 (/ (pow U 8) (* (pow J 8) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)))))) (* (pow J 4) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)))))) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (* 1/2 (* (- (* -1/16 (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4))))) (* 1/4096 (/ (pow U 8) (* (pow J 8) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (/ (- (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 1)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* -1/2 K)) 2)
(/ (pow (cos (* -1/2 K)) 2) U)
(sqrt (/ (- (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 1)))
(sqrt (- (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 1))
(sqrt (- (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) 1))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ (sqrt -1) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (sqrt -1) 3))))) (* 1/8 (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1))))))))
(+ (sqrt -1) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (* (pow (cos (* -1/2 K)) 6) (pow (sqrt -1) 5))))) (* 1/128 (/ 1 (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (sqrt -1) 3))))))) (* 1/8 (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1))))))))
(+ (sqrt -1) (* (pow U 4) (+ (* -1/2048 (/ (pow U 4) (* (pow J 8) (* (pow (cos (* -1/2 K)) 8) (pow (sqrt -1) 3))))) (* 1/32 (/ 1 (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1))))))))
(+ (sqrt -1) (* (pow U 4) (+ (* (pow U 4) (- (* 1/65536 (/ (pow U 4) (* (pow J 12) (* (pow (cos (* -1/2 K)) 12) (pow (sqrt -1) 5))))) (* 1/2048 (/ 1 (* (pow J 8) (* (pow (cos (* -1/2 K)) 8) (pow (sqrt -1) 3))))))) (* 1/32 (/ 1 (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))
(* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))
(* U (+ (* -2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))))
(* (pow U 2) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* (pow U 2) (+ (* -8 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 8))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* (pow U 2) (+ (* -64 (/ (* (pow J 10) (pow (cos (* -1/2 K)) 10)) (pow U 12))) (+ (* -8 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 8))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 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 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -1 (* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))
(* -1 (* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))))

Calls

9 calls:

Time	Variable		Point	Expression
94.0ms	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)) (* (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2)))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))))
54.0ms	J	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2)))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))))
12.0ms	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)) (* (* (* -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)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2)))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))))
11.0ms	U	@	inf	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2)))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))))
10.0ms	U	@	0	((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (* (* J J) -2) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2)))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))))

simplify257.0ms (2.5%)

Memory

23.4MiB live, 352.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1012	10291
1	3637	9939
0	8857	9592

Stop Event

1×	iter limit
1×	node limit

Counts

169 → 168

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)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(* -2 (pow J 2))
(pow J 2)
(* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 5))) (* 2 (/ (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K))) (pow U 3))))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/2 (/ 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 (/ (* (pow J 2) (cos (* -1/2 K))) U)) (* 1/2 (/ U (cos (* -1/2 K))))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (cos (* -1/2 K)) U)) (* -1 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 3)) (pow U 3)))))) J)
(/ (+ (* 1/2 (/ U (cos (* -1/2 K)))) (* (pow J 2) (+ (* -1 (/ (cos (* -1/2 K)) U)) (* (pow J 2) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 5)) (pow U 5))) (* -1 (/ (pow (cos (* -1/2 K)) 3) (pow U 3)))))))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))
(/ (+ (* -2 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 2)) (pow U 2))) (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2)))) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* (pow J 4) (+ (* -8 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 6)) (pow U 6))) (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2)))))) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* -1/2 K)) 2))) (* (pow J 4) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (* (pow J 4) (+ (* -64 (/ (* (pow J 4) (pow (cos (* -1/2 K)) 10)) (pow U 10))) (* -8 (/ (pow (cos (* -1/2 K)) 6) (pow U 6)))))))) (pow J 2))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(sqrt -1)
(+ (sqrt -1) (* 1/8 (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (sqrt -1) 3))))) (* 1/8 (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1)))))))
(+ (sqrt -1) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (sqrt -1) 3))))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (* (pow (cos (* -1/2 K)) 6) (pow (sqrt -1) 5))))) (* 1/8 (/ (pow U 2) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1))))))))
(+ (sqrt -1) (* 1/32 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1))))))
(+ (sqrt -1) (+ (* -1/2048 (/ (pow U 8) (* (pow J 8) (* (pow (cos (* -1/2 K)) 8) (pow (sqrt -1) 3))))) (* 1/32 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1)))))))
(+ (sqrt -1) (+ (* -1/2048 (/ (pow U 8) (* (pow J 8) (* (pow (cos (* -1/2 K)) 8) (pow (sqrt -1) 3))))) (+ (* 1/65536 (/ (pow U 12) (* (pow J 12) (* (pow (cos (* -1/2 K)) 12) (pow (sqrt -1) 5))))) (* 1/32 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(+ (* -2 J) (* 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)))
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(* -2 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))
(+ (* -2 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (/ (- (* 1/16 (/ (pow U 4) (pow J 4))) 1) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/2 (* (* J (- (* 1/32 (/ (pow U 4) (* (pow J 4) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) (* 1/16 (/ (* (pow U 2) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow J 2) (pow (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) 2)))))) (sqrt (/ (- (* 1/4 (/ (pow U 2) (pow J 2))) 1) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)))))))))
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(+ (sqrt (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))
(+ (sqrt (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 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) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))
(+ (sqrt (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* (pow K 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) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (* (pow J 2) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1)))))) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (* 1/2 (* (- (* -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) (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))) (sqrt (/ 1 (- (* 1/4 (/ (pow U 2) (pow J 2))) 1))))))))))
(sqrt (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))
(+ (sqrt (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* 1/64 (* (/ (* (pow K 2) (pow U 4)) (pow J 4)) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))
(+ (sqrt (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow K 2) (+ (* 1/64 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (* 1/2 (* (* (pow K 2) (- (* -1/16 (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4))))) (* 1/4096 (/ (pow U 8) (* (pow J 8) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)))))) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))))
(+ (sqrt (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)) (* (pow K 2) (+ (* 1/64 (* (/ (pow U 4) (pow J 4)) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (* (pow K 2) (+ (* 1/2 (* (* (pow K 2) (- (* -1/16 (+ (* -17/1440 (/ (pow U 4) (pow J 4))) (+ (* 5/96 (/ (pow U 4) (pow J 4))) (* 1/2 (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4)))))))) (* 1/64 (/ (* (pow U 4) (- (* -1/16 (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4))))) (* 1/4096 (/ (pow U 8) (* (pow J 8) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)))))) (* (pow J 4) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1)))))) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (* 1/2 (* (- (* -1/16 (+ (* -1/4 (/ (pow U 4) (pow J 4))) (* 5/48 (/ (pow U 4) (pow J 4))))) (* 1/4096 (/ (pow U 8) (* (pow J 8) (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))) (sqrt (/ 1 (- (* 1/16 (/ (pow U 4) (pow J 4))) 1))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (/ (- (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 1)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* -1/2 K)) 2)
(/ (pow (cos (* -1/2 K)) 2) U)
(sqrt (/ (- (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) 1) (- (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 1)))
(sqrt (- (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* -1/2 K)) 2)))) 1))
(sqrt (- (* 1/16 (/ (pow U 4) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) 1))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (cos (* -1/2 K)) 2)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (pow (cos (* -1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (cos (* -1/2 K)) 6)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (cos (* -1/2 K)) 4)))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* -1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* -1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* -1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(+ (sqrt -1) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (sqrt -1) 3))))) (* 1/8 (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1))))))))
(+ (sqrt -1) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (* (pow (cos (* -1/2 K)) 6) (pow (sqrt -1) 5))))) (* 1/128 (/ 1 (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (sqrt -1) 3))))))) (* 1/8 (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (sqrt -1))))))))
(+ (sqrt -1) (* (pow U 4) (+ (* -1/2048 (/ (pow U 4) (* (pow J 8) (* (pow (cos (* -1/2 K)) 8) (pow (sqrt -1) 3))))) (* 1/32 (/ 1 (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1))))))))
(+ (sqrt -1) (* (pow U 4) (+ (* (pow U 4) (- (* 1/65536 (/ (pow U 4) (* (pow J 12) (* (pow (cos (* -1/2 K)) 12) (pow (sqrt -1) 5))))) (* 1/2048 (/ 1 (* (pow J 8) (* (pow (cos (* -1/2 K)) 8) (pow (sqrt -1) 3))))))) (* 1/32 (/ 1 (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (sqrt -1))))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))
(* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))
(* U (+ (* -2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))))
(* (pow U 2) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(* (pow U 2) (+ (* -8 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 8))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* (pow U 2) (+ (* -64 (/ (* (pow J 10) (pow (cos (* -1/2 K)) 10)) (pow U 12))) (+ (* -8 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 8))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 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 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))))
(* -1 (* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))
(* -1 (* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))))

Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J J)) U) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (neg.f64 U))
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(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
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(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
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(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2)))))
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(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* -1/2 K))))) (/ (* J (cos (* -1/2 K))) (pow U 2))))))
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(* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))
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(* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))
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(* U (+ (* -2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))))
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(* (pow U 2) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
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(* (pow U 2) (+ (* -8 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 8))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
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(* (pow U 2) (+ (* -64 (/ (* (pow J 10) (pow (cos (* -1/2 K)) 10)) (pow U 12))) (+ (* -8 (/ (* (pow J 6) (pow (cos (* -1/2 K)) 6)) (pow U 8))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 4))) (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
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U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(.f64 (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (-.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64))) (neg.f64 U))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) #s(literal 1 binary64)) (neg.f64 U))
(/ (* U (cos (* 1/2 K))) (cos (* -1/2 K)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) (fma.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (neg.f64 U))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* -1/2 K)) 5) (cos (* 1/2 K)))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* 1/2 K)) (cos (* -1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (cos (* 1/2 K)))) (pow U 4))))))))
(.f64 (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) (fma.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (neg.f64 U))
(* -1/2 (/ 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 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 (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))
(* -1/2 (/ 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 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 (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 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))
(.f64 (fma.f64 (neg.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))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))))))
(.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.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)))) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (neg.f64 U))
(* -1 (* U (+ (* -2 (/ (* (pow J 5) (pow (cos (* -1/2 K)) 5)) (pow U 6))) (+ (* -1 (/ (* J (cos (* -1/2 K))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 4))) (* 1/2 (/ 1 (* J (cos (* -1/2 K))))))))))
(.f64 (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 #s(literal -1 binary64) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.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)))) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))) (neg.f64 U))

rewrite220.0ms (2.2%)

Memory

4.9MiB live, 341.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	361
0	97	359
1	287	341
2	1741	339
0	8330	339

Stop Event

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

Counts

21 → 429

Calls

Call 1

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

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 (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 (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)
(/.f64 (+.f64 (pow.f64 (neg.f64 J) #s(literal 3 binary64)) (pow.f64 (neg.f64 J) #s(literal 3 binary64))) (fma.f64 J J (-.f64 (.f64 J J) (.f64 J J))))
(/.f64 (-.f64 (.f64 J J) (.f64 J J)) (-.f64 (neg.f64 J) (neg.f64 J)))
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(+.f64 (neg.f64 J) (neg.f64 J))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 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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(pow.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 12 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 8 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 8 binary64)) #s(literal 1 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 4 binary64)) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.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 8 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 12 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 8 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 12 binary64)) #s(literal -1 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 8 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 12 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 8 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64))) #s(literal 1 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 4 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64))))

eval150.0ms (1.5%)

Memory: -3.1MiB live, 281.8MiB allocated
Compiler: Compiled 41 402 to 3 284 computations (92.1% saved)

prune39.0ms (0.4%)

Memory

-15.2MiB live, 85.9MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	665	18	683
Fresh	4	8	12
Picked	4	1	5
Done	0	0	0
Total	673	27	700

Accuracy

99.9%

Counts

700 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(.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)))))
▶	31.8%	(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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)))))
	75.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	75.4%	(.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)))))
	75.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 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))))))) (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)))))
	55.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.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)))))))
	59.7%	(.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	22.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	55.7%	(.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)))
	3.6%	(.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)))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
	40.1%	(.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)))) (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)))))
	75.4%	(.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)))))
▶	86.2%	(.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)))
	12.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
	54.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶	36.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	35.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (neg.f64 U)))
	23.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (-.f64 (.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) (neg.f64 U)))
	30.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
	35.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U)))
	54.2%	#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)))))
	10.0%	#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)))
	41.6%	#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)))))
✓	36.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	25.3%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
	31.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 (*.f64 J J) #s(literal -2 binary64))) U) U)))
▶	35.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))

Compiler

Compiled 2 419 to 1 585 computations (34.5% saved)

simplify134.0ms (1.3%)

Memory

5.7MiB live, 189.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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)))))
cost-diff	1	(fma.f64 J J #s(literal 0 binary64))
cost-diff	1	(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64))))
cost-diff	0	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
cost-diff	0	(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J)
cost-diff	0	(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #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 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
cost-diff	2	(fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64)))
cost-diff	2	(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))
cost-diff	4	(fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (*.f64 J J)))
cost-diff	0	(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
cost-diff	0	(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
cost-diff	0	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
cost-diff	0	(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)))))
cost-diff	0	(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))))))
cost-diff	0	(.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))))
cost-diff	0	(.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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	816
0	133	811
1	279	802
2	932	778
3	4822	774
0	8225	758

Stop Event

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

Calls

Call 1

Inputs
(.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)))))) (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))))))
(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(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
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 J #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
J
U
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U))
(-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (*.f64 J J))) U)
(fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (*.f64 J J)))
#s(literal 1/720 binary64)
(.f64 (.f64 K J) (*.f64 K J))
(*.f64 K J)
K
J
(.f64 #s(literal -1/24 binary64) (.f64 J J))
#s(literal -1/24 binary64)
(*.f64 J J)
U
(*.f64 K K)
(.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))
(/.f64 (*.f64 J J) U)
#s(literal 1/2 binary64)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) 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
J
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(neg.f64 U)
(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 J #s(literal 3 binary64))
J
#s(literal 3 binary64)
(neg.f64 (fma.f64 J J #s(literal 0 binary64)))
(fma.f64 J J #s(literal 0 binary64))
#s(literal 0 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
(sqrt.f64 (+.f64 #s(literal 1 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 (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 #s(literal -2 binary64) J)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) #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))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) #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)))))
(asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) #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 (/.f64 U (.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.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
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
J
U
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) J) J (.f64 (.f64 K K) (.f64 (.f64 J J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))))) (.f64 K K) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) J) J (.f64 (.f64 K K) (.f64 (.f64 J J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))))) (.f64 K K) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U))
(-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)
(-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) J) J (.f64 (.f64 K K) (.f64 (.f64 J J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))))) (.f64 K K) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) J) J (.f64 (.f64 K K) (.f64 (.f64 J J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))))) (.f64 K K) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U)
(fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) J) J (.f64 (.f64 K K) (.f64 (.f64 J J) (fma.f64 (.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))))) U)
(/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (*.f64 J J))) U)
(/.f64 (.f64 (.f64 J J) (fma.f64 (*.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64))) U)
(fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (*.f64 J J)))
(.f64 (.f64 J J) (fma.f64 (*.f64 #s(literal 1/720 binary64) K) K #s(literal -1/24 binary64)))
#s(literal 1/720 binary64)
(.f64 (.f64 K J) (*.f64 K J))
(.f64 (.f64 (*.f64 K J) J) K)
(*.f64 K J)
K
J
(.f64 #s(literal -1/24 binary64) (.f64 J J))
#s(literal -1/24 binary64)
(*.f64 J J)
U
(*.f64 K K)
(.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))
(/.f64 (*.f64 J J) U)
#s(literal 1/2 binary64)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #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 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U)))
(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) (neg.f64 U))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J)
(.f64 (/.f64 J U) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/.f64 (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
J
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(neg.f64 U)
(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) J) J))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) J) J)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) J) J))
(*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64)))
(*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 J #s(literal 3 binary64))
J
#s(literal 3 binary64)
(neg.f64 (fma.f64 J J #s(literal 0 binary64)))
(*.f64 (neg.f64 J) J)
(fma.f64 J J #s(literal 0 binary64))
(*.f64 J J)
#s(literal 0 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
(sqrt.f64 (+.f64 #s(literal 1 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 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
U
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))

localize256.0ms (2.5%)

Memory

17.1MiB live, 355.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	6.8366711253894294	(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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	8.670559571785693	(sqrt.f64 (+.f64 #s(literal 1 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	38.36604258250948	(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64))))
accuracy	0.12890625	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
accuracy	0.23046875	(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J)
accuracy	0.2734375	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	40.45168015907281	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
accuracy	9.906340520464576	(fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64)))
accuracy	15.564245162150668	(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))
accuracy	28.3992047721922	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U))
accuracy	40.45168015907281	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
accuracy	0.0078125	(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
accuracy	6.62722385452099	(/.f64 (*.f64 J J) U)
accuracy	7.760880384589915	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
accuracy	40.45168015907281	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
accuracy	0.2955201794925423	(.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))))
accuracy	1.861010882759577	(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	6.638111060997315	(.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)))
accuracy	7.088264497553314	(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

186.0ms

256×

valid

Compiler

Compiled 649 to 73 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 44.0ms (31.2% of total)

ival-neg: 22.0ms (15.6% of total)

ival-cos: 21.0ms (14.9% of total)

ival-div: 16.0ms (11.3% of total)

ival-pow2: 10.0ms (7.1% of total)

ival-add: 8.0ms (5.7% of total)

const: 7.0ms (5% of total)

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

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

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

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

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

exact: 1.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

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

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

series347.0ms (3.4%)

Memory

11.2MiB live, 555.7MiB allocated

Counts

25 → 215

Calls

Call 1

Inputs
(.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)))))) (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))))))
(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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (*.f64 J J)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64))))
(fma.f64 J J #s(literal 0 binary64))
(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (*.f64 J J) U)
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 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))))
(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 (* 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)))))))))))))))))))))
(* 1/2 (* (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))))))))
(+ (* 1/2 (* (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)))))))) (* 1/2 (* (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)))))))))))
(+ (* 1/2 (* (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) (+ (* 1/2 (* (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))))))))) (* 1/2 (* (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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(* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))
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(+ (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)))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(* -1 (/ (+ (* 2 (pow J 2)) (* (pow K 2) (+ (* -1 (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))))) (* -1/2 (pow J 2))))) U))
(* -1 (/ (+ (* -1 (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))))) (* -1/2 (pow J 2))) U))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
78.0ms	K	@	-inf	((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) (+ (* (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* K K)) (* (/ (* J J) U) -2)) (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* J -2)) (neg U)) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U) (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (+ (* J J) 0) (* (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (/ (* J J) U) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* 1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
46.0ms	K	@	inf	((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) (+ (* (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* K K)) (* (/ (* J J) U) -2)) (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* J -2)) (neg U)) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U) (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (+ (* J J) 0) (* (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (/ (* J J) U) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* 1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
29.0ms	J	@	-inf	((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) (+ (* (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* K K)) (* (/ (* J J) U) -2)) (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* J -2)) (neg U)) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U) (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (+ (* J J) 0) (* (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (/ (* J J) U) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* 1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
29.0ms	K	@	0	((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) (+ (* (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* K K)) (* (/ (* J J) U) -2)) (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* J -2)) (neg U)) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U) (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (+ (* J J) 0) (* (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (/ (* J J) U) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* 1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
29.0ms	U	@	0	((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -2)) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (- (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) (+ (* (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* K K)) (* (/ (* J J) U) -2)) (+ (* (/ (+ (* 1/720 (* (* K J) (* K J))) (* -1/24 (* J J))) U) (* K K)) (* (/ (* J J) U) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* J -2)) (neg U)) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U) (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (+ (* J J) 0) (* (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (* 2 (pow J 3)) (neg (+ (* J J) 0))) (cos (/ K 2))) (/ (* J J) U) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* 1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify304.0ms (3%)

Memory

3.0MiB live, 440.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1366	31458
1	5275	30206
0	8212	28305

Stop Event

1×	iter limit
1×	node limit

Counts

215 → 214

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)))))))))))))))))))))
(* 1/2 (* (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))))))))
(+ (* 1/2 (* (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)))))))) (* 1/2 (* (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)))))))))))
(+ (* 1/2 (* (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) (+ (* 1/2 (* (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))))))))) (* 1/2 (* (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))))))))))))))))
(+ (* 1/2 (* (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) (+ (* 1/2 (* (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))))))))) (* (pow J 2) (+ (* 1/2 (* (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)))))))))))) (* 1/2 (* (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))))))))))))))))))))
(* 1/2 (+ (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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(+ (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)))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(* -1 (/ (+ (* 2 (pow J 2)) (* (pow K 2) (+ (* -1 (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))))) (* -1/2 (pow J 2))))) U))
(* -1 (/ (+ (* -1 (* (pow K 2) (+ (* -1/24 (pow J 2)) (* 1/720 (* (pow J 2) (pow K 2)))))) (* -1/2 (pow J 2))) U))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))

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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rewrite179.0ms (1.8%)

Memory

5.2MiB live, 277.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	572
0	133	558
1	439	532
2	3235	508
0	9685	504

Stop Event

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

Counts

25 → 538

Calls

Call 1

Inputs
(.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)))))) (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))))))
(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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (*.f64 J J)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64))))
(fma.f64 J J #s(literal 0 binary64))
(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (*.f64 J J) U)
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 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))))
(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) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) #s(literal -2 binary64)) J)
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal -2 binary64))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) (.f64 #s(literal -2 binary64) J))
(.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(literal 2 binary64))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))) #s(literal 2 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (exp.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) #s(literal 2 binary64))
(cosh.f64 (asinh.f64 (fabs.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64)))
(asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(neg.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 (-.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))))))
(-.f64 (log.f64 (fma.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))))) (log.f64 (.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))))) (log.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 U #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)))) (.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))))) (log.f64 (.f64 (.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 0 binary64) (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(log.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U))) (neg.f64 (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) U)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) U)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U)) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) U))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) U))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64) U)) (/.f64 (.f64 U U) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) U)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (fma.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64) U)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (.f64 J J) U) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (fma.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64) U)))))
(-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)
(.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64))
(.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U))
(.f64 (.f64 #s(literal -2 binary64) J) (/.f64 J U))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 J J) U))
(.f64 J (/.f64 (.f64 #s(literal -2 binary64) J) U))
(.f64 J (.f64 (/.f64 J U) #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal -2 binary64) J) J)) (neg.f64 U))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (neg.f64 U))
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sin.f64 (acos.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(sin.f64 (acos.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))
(cos.f64 (asin.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (fabs.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (fabs.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (.f64 U (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (fabs.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 U))) (fabs.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U J) #s(literal 2 binary64)))) (fabs.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)) (fabs.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(/.f64 (fabs.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U J) #s(literal 2 binary64)))) (fabs.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (.f64 (neg.f64 U) U)) (fabs.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (neg.f64 U))) (fabs.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)))))
(/.f64 (fabs.f64 (.f64 U (neg.f64 U))) (fabs.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (pow.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) U)) (fabs.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)))))
(/.f64 (fabs.f64 (.f64 U (/.f64 (/.f64 U J) #s(literal 2 binary64)))) (fabs.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (.f64 U (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 U)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U J) #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U J) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 U) U) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J))))
(/.f64 (.f64 U (neg.f64 U)) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) U) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J))))
(/.f64 (.f64 U (/.f64 (/.f64 U J) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (.f64 U U) (fabs.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64))))
(/.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))

eval249.0ms (2.5%)

Memory: 22.0MiB live, 260.7MiB allocated
Compiler: Compiled 78 597 to 5 024 computations (93.6% saved)

prune94.0ms (0.9%)

Memory

9.1MiB live, 100.9MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	811	20	831
Fresh	7	14	21
Picked	4	1	5
Done	0	1	1
Total	822	36	858

Accuracy

99.9%

Counts

858 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (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)))))
	24.8%	(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (.f64 J 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)))))
	31.8%	(.f64 (.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal -2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	75.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	75.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 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))))))) (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)))))
	55.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.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)))))))
	59.7%	(.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	22.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	3.6%	(.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)))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
▶	40.1%	(.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)))) (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)))))
	75.4%	(.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)))))
▶	75.4%	(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
✓	86.2%	(.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)))
	55.7%	(.f64 #s(approx ( (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
	12.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
	54.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶	36.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))))) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	24.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.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) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	36.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(approx (/ (pow (cos ( 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	54.2%	#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)))))
▶	30.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	36.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	10.0%	#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)))
	41.6%	#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)))))
✓	36.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	25.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) (/.f64 (.f64 K K) U) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
	25.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) K) K (.f64 (.f64 J J) #s(literal 1/2 binary64))) U) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
	31.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 (*.f64 J J) #s(literal -2 binary64))) U) U)))
	33.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (neg.f64 U)) U)))
	28.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) (neg.f64 U) (.f64 (neg.f64 U) #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
	29.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) U (.f64 U #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
	36.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
	34.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J (neg.f64 (/.f64 J U))) #s(literal -2 binary64)) U)))
▶	35.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
	21.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) #s(approx (- (* (/ (* J J) U) -2) U) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) U))))
	41.8%	#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -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 3 409 to 2 225 computations (34.7% saved)

simplify151.0ms (1.5%)

Memory

-14.4MiB live, 125.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 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	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))))) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
cost-diff	1	(cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K)))
cost-diff	1	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) K)))))
cost-diff	3	(.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))
cost-diff	0	(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)
cost-diff	0	#s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U))
cost-diff	0	(fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #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 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
cost-diff	0	(.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U))
cost-diff	0	(-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
cost-diff	0	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U))
cost-diff	0	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
cost-diff	0	(+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	726
0	126	710
1	268	702
2	722	695
3	2662	695
0	8366	688

Stop Event

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

Calls

Call 1

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

localize294.0ms (2.9%)

Memory

26.5MiB live, 307.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(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	6.8366711253894294	(.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)))) (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	8.670559571785693	(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	32.555815878577654	#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0.12890625	(/.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)
accuracy	0.23046875	(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))))) U) J)
accuracy	0.5275534322415787	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) K)))))
accuracy	40.45168015907281	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))))) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
accuracy	3.3752086216213737	(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)
accuracy	6.234623699406751	(.f64 (.f64 K K) J)
accuracy	32.13999536961952	#s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U))
accuracy	40.45168015907281	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
accuracy	0.00390625	(-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
accuracy	6.66421876428564	(.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U))
accuracy	7.760880384589915	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U))
accuracy	40.45168015907281	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
accuracy	0.24609375	(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
accuracy	0.2955201794925423	(.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
accuracy	6.638111060997315	(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
accuracy	8.670559571785693	(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))

Samples

246.0ms

256×

valid

Compiler

Compiled 533 to 68 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 61.0ms (39.1% of total)

ival-cos: 32.0ms (20.5% of total)

ival-pow2: 29.0ms (18.6% of total)

ival-div: 18.0ms (11.5% of total)

ival-add: 9.0ms (5.8% of total)

ival-sqrt: 3.0ms (1.9% of total)

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

exact: 1.0ms (0.6% of total)

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

adjust: 0.0ms (0% of total)

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

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

series79.0ms (0.8%)

Memory

-29.4MiB live, 112.3MiB allocated

Counts

26 → 157

Calls

Call 1

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

Calls

9 calls:

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

simplify188.0ms (1.9%)

Memory

32.8MiB live, 279.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	5753
1	2651	5529
0	9521	5253

Stop Event

1×	iter limit
1×	node limit

Counts

157 → 156

Calls

Call 1

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

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

rewrite227.0ms (2.2%)

Memory

-29.7MiB live, 260.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	514
0	126	492
1	447	466
2	2668	462
0	8736	456

Stop Event

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

Counts

26 → 673

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U))
(-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)
(.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
#s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)
(.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))
(+.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)))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #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) J) (*.f64 J #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)))) (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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(*.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)))
(pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(.f64 (.f64 K K) J)
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))))) U) 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)
(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 (.f64 #s(literal -2 binary64) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal -2 binary64)) J)
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) #s(literal -2 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal -2 binary64) J))
(.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.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 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 #s(literal -2 binary64) J)))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
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(/.f64 (fabs.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (.f64 (/.f64 U J) U)) (fabs.f64 (.f64 (.f64 #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 (fabs.f64 (.f64 U (/.f64 (/.f64 U J) #s(literal -2 binary64)))) (fabs.f64 (.f64 (.f64 (.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 (fabs.f64 (.f64 U (/.f64 U J))) (fabs.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U J) #s(literal 2 binary64)))) (fabs.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (fabs.f64 (.f64 (neg.f64 U) U)) (fabs.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(/.f64 (fabs.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (neg.f64 U))) (fabs.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))))
(/.f64 (fabs.f64 (pow.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) #s(literal 2 binary64))) (fabs.f64 (pow.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) U)) (fabs.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(/.f64 (fabs.f64 (.f64 U (neg.f64 U))) (fabs.f64 (.f64 (.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) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))))
(/.f64 (fabs.f64 (.f64 U (/.f64 (/.f64 U J) #s(literal 2 binary64)))) (fabs.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (/.f64 U J) (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))
(/.f64 (.f64 U (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U J) #s(literal -2 binary64))) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U)) (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U J) #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 U J)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (neg.f64 U)) (.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) (/.f64 (/.f64 U J) #s(literal 2 binary64))) (.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 (/.f64 U J) #s(literal -2 binary64)) (/.f64 U J)) (.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))) #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) U) (.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U J) #s(literal -2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (neg.f64 U) (/.f64 (/.f64 U J) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 (neg.f64 U) (/.f64 U J)) (.f64 (.f64 #s(literal -2 binary64) (.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))) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 U) U) (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (/.f64 U J) #s(literal -2 binary64))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))))
(/.f64 (pow.f64 (/.f64 (/.f64 U J) #s(literal -2 binary64)) #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 (/.f64 U J) #s(literal 2 binary64)) (/.f64 U J)) (.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))) #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) U) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (/.f64 U J) (/.f64 (/.f64 U 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)) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 (/.f64 U J) (neg.f64 U)) (.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))))
(/.f64 (.f64 (/.f64 U J) (/.f64 (/.f64 U 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)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 U J) U) (.f64 (.f64 #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 (.f64 U (/.f64 (/.f64 U J) #s(literal -2 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (.f64 U (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)))) (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))))
(/.f64 (.f64 U (/.f64 (/.f64 U J) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (.f64 U (/.f64 U J)) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
(/.f64 (.f64 U U) (neg.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)) (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(/.f64 (.f64 U U) (neg.f64 (.f64 (.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) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))))
(/.f64 (.f64 U U) (fabs.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(/.f64 (.f64 U U) (pow.f64 (.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 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))))

eval139.0ms (1.4%)

Memory: 34.5MiB live, 222.1MiB allocated
Compiler: Compiled 38 820 to 4 246 computations (89.1% saved)

prune102.0ms (1%)

Memory

-21.1MiB live, 208.3MiB allocated

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	664	13	677
Fresh	6	23	29
Picked	2	3	5
Done	1	1	2
Total	673	40	713

Accuracy

99.9%

Counts

713 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (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)))))
	24.8%	(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (.f64 J 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)))))
	55.3%	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
	31.8%	(.f64 (.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal -2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	75.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	75.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 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))))))) (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)))))
	59.7%	(.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))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	22.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(approx (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
	3.6%	(.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)))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
✓	40.1%	(.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)))) (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)))))
	75.4%	(.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)))))
	75.4%	(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))) (/.f64 U (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
✓	75.4%	(.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
	59.7%	(.f64 (.f64 (sqrt.f64 #s(approx (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
	9.4%	(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 J #s(literal -2 binary64)))
	41.6%	(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64)))
	55.7%	(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
	12.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
	36.8%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	54.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
	30.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* -1/2 K))) (fma.f64 (.f64 K K) #s(literal -1/2 binary64) #s(literal 1 binary64))))) U) J) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	24.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.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) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	54.2%	#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)))))
	32.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K J) K) J) U)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	36.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	19.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) J (/.f64 J (.f64 K K))) U) (.f64 K K)))) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	29.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (.f64 (.f64 K K) J) U) #s(literal -1/4 binary64)))) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
	10.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) #s(literal 1 binary64)) (neg.f64 U)))
✓	36.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	25.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) (/.f64 (.f64 K K) U) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
	25.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) K) K (.f64 (.f64 J J) #s(literal 1/2 binary64))) U) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
	31.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 (*.f64 J J) #s(literal -2 binary64))) U) U)))
	33.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (neg.f64 U)) U)))
	28.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) (neg.f64 U) (.f64 (neg.f64 U) #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
	29.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) U (.f64 U #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
	36.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) J) U)))
	34.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J (neg.f64 (/.f64 J U))) #s(literal -2 binary64)) U)))
✓	35.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
	21.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) #s(approx (- (* (/ (* J J) U) -2) U) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) U))))
	41.8%	#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -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 5 171 to 1 775 computations (65.7% saved)

regimes260.0ms (2.6%)

Memory

9.1MiB live, 380.6MiB allocated

Counts

69 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) J) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J (neg.f64 (/.f64 J U))) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (neg.f64 U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) #s(approx (- (* (/ (* J J) U) -2) U) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(approx (/ (pow (cos ( 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 J #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 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (.f64 (.f64 K K) J) U) #s(literal -1/4 binary64)))) (.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) U (.f64 U #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K J) K) J) U)) (*.f64 J #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 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #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 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) (neg.f64 U) (.f64 (neg.f64 U) #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 (*.f64 J J) #s(literal -2 binary64))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* -1/2 K))) (fma.f64 (.f64 K K) #s(literal -1/2 binary64) #s(literal 1 binary64))))) U) J) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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)))))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) J (/.f64 J (.f64 K K))) U) (.f64 K K)))) (.f64 J #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 J J) #s(literal -2 binary64)) (/.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) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.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) J) (*.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
(.f64 #s(approx ( (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #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 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -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 (.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 (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (*.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) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #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) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) K) K (.f64 (.f64 J J) #s(literal 1/2 binary64))) U) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) (/.f64 (.f64 K K) U) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 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 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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)))) (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.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)))) #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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 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) #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 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (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) #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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 U (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))) (/.f64 U (.f64 #s(literal -2 binary64) (.f64 #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #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)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal -2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.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 (.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)))))
(.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)))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (.f64 J 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)))) (/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cos.f64 (/.f64 (.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 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) (/.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)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 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))))))) (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) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.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 (.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))))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (cos.f64 (/.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 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))

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

53.0ms	(.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)))))
45.0ms	K
42.0ms	J
40.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
37.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
86.2%	1	`(/.f64 K #s(literal 2 binary64))`
86.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
90.8%	2	`J`
86.2%	1	`K`
89.0%	2	`U`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes16.0ms (0.2%)

Memory

36.6MiB live, 36.6MiB allocated

Counts

54 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) J) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J (neg.f64 (/.f64 J U))) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (neg.f64 U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) #s(approx (- (* (/ (* J J) U) -2) U) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(approx (/ (pow (cos ( 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 J #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 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (.f64 (.f64 K K) J) U) #s(literal -1/4 binary64)))) (.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) U (.f64 U #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K J) K) J) U)) (*.f64 J #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 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #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 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) (neg.f64 U) (.f64 (neg.f64 U) #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 (*.f64 J J) #s(literal -2 binary64))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* -1/2 K))) (fma.f64 (.f64 K K) #s(literal -1/2 binary64) #s(literal 1 binary64))))) U) J) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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)))))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) J (/.f64 J (.f64 K K))) U) (.f64 K K)))) (.f64 J #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 J J) #s(literal -2 binary64)) (/.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) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.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) J) (*.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
(.f64 #s(approx ( (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #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 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -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 (.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 (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (*.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) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #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) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) K) K (.f64 (.f64 J J) #s(literal 1/2 binary64))) U) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) (/.f64 (.f64 K K) U) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 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 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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)))) (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.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)))) #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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 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) #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 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (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) #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)))))

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

1 calls:

12.0ms

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

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes69.0ms (0.7%)

Memory

-14.8MiB live, 87.7MiB 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))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) J) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J (neg.f64 (/.f64 J U))) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (neg.f64 U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) #s(approx (- (* (/ (* J J) U) -2) U) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(approx (/ (pow (cos ( 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 J #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 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (.f64 (.f64 K K) J) U) #s(literal -1/4 binary64)))) (.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) U (.f64 U #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K J) K) J) U)) (*.f64 J #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 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #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 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) (neg.f64 U) (.f64 (neg.f64 U) #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 (*.f64 J J) #s(literal -2 binary64))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* -1/2 K))) (fma.f64 (.f64 K K) #s(literal -1/2 binary64) #s(literal 1 binary64))))) U) J) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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)))))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) J (/.f64 J (.f64 K K))) U) (.f64 K K)))) (.f64 J #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 J J) #s(literal -2 binary64)) (/.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) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.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) J) (*.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
(.f64 #s(approx ( (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #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 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -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 (.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 (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (*.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) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #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) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) K) K (.f64 (.f64 J J) #s(literal 1/2 binary64))) U) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) (/.f64 (.f64 K K) U) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 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 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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)))) (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.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)))) #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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 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) #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 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))

Outputs

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

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

Calls

3 calls:

37.0ms

(*.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)))))

16.0ms

13.0ms

Results

Accuracy	Segments	Branch
75.6%	2	`U`
75.6%	2	`J`
89.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes62.0ms (0.6%)

Memory

-22.8MiB live, 111.3MiB allocated

Counts

49 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J J) (/.f64 #s(literal -2 binary64) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) J) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 J U) J) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 J (neg.f64 (/.f64 J U))) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (neg.f64 U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) #s(approx (- (* (/ (* J J) U) -2) U) (/.f64 (fma.f64 (neg.f64 U) U (.f64 (.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(approx (/ (pow (cos ( 1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) J) (*.f64 J #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 J J) #s(literal -2 binary64)) #s(approx (/ (pow (cos (* -1/2 K)) 2) U) (/.f64 #s(literal 1 binary64) U)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (.f64 (.f64 K K) J) U) #s(literal -1/4 binary64)))) (.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) U (.f64 U #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K J) K) J) U)) (*.f64 J #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 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 J #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 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (/.f64 (fma.f64 (.f64 J J) (neg.f64 U) (.f64 (neg.f64 U) #s(literal 0 binary64))) (.f64 U U)) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 (*.f64 J J) #s(literal -2 binary64))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* -1/2 K))) (fma.f64 (.f64 K K) #s(literal -1/2 binary64) #s(literal 1 binary64))))) U) J) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.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)))))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) #s(approx (/ (+ (* -1/4 (* (* K K) J)) J) U) (.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) J (/.f64 J (.f64 K K))) U) (.f64 K K)))) (.f64 J #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 J J) #s(literal -2 binary64)) (/.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) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.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) J) (*.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 K J) (.f64 K J)) (.f64 #s(literal -1/24 binary64) (.f64 J J))) U) (.f64 K K) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
(.f64 #s(approx ( (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #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 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) U) (.f64 J #s(literal -2 binary64)) (neg.f64 U)))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -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 (.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 (/ (/ (* 1/2 U) J) (cos (* -1/2 K))) (*.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) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #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) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(.f64 (.f64 (sqrt.f64 #s(approx (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) K) K (.f64 (.f64 J J) #s(literal 1/2 binary64))) U) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 J J) (.f64 (pow.f64 (.f64 K J) #s(literal 2 binary64)) #s(literal 1/720 binary64))) (/.f64 (.f64 K K) U) (.f64 (/.f64 (.f64 J J) U) #s(literal 1/2 binary64))) (.f64 K K) (.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 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 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))
(.f64 #s(approx ( (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) 2) 1)) (cos (/ K -2))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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)))) (.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (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 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(.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)))) #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) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 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)))))

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

Calls

4 calls:

15.0ms	K
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)))))
12.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
64.3%	2	`(/.f64 K #s(literal 2 binary64))`
64.3%	2	`K`
69.3%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
87.4%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes12.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
79.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes81.0ms (0.8%)

Memory

-55.4MiB live, 24.6MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

79.0ms

(*.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
79.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes28.0ms (0.3%)

Memory

41.4MiB live, 41.4MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

3 calls:

9.0ms

8.0ms

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

Results

Accuracy	Segments	Branch
72.6%	2	`U`
69.9%	2	`J`
77.9%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes30.0ms (0.3%)

Memory

-18.2MiB live, 30.5MiB allocated

Counts

30 → 4

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

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

Results

Accuracy	Segments	Branch
77.7%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes59.0ms (0.6%)

Memory

-13.4MiB live, 76.9MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

19.0ms	U
12.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	J
7.0ms	K
7.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
50.7%	2	`(/.f64 K #s(literal 2 binary64))`
50.7%	2	`K`
50.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
54.0%	2	`J`
57.9%	2	`U`
61.0%	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

14.4MiB live, 14.4MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
60.9%	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)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes41.0ms (0.4%)

Memory

-25.5MiB live, 74.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

10.0ms	J
5.0ms	K
5.0ms	U
5.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
36.5%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
36.5%	1	`(/.f64 K #s(literal 2 binary64))`
36.5%	1	`K`
36.5%	1	`J`
36.5%	1	`U`
36.5%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes8.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Accuracy

Total -0.9b remaining (-2.3%)

Threshold costs -0.9b (-2.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Results

Accuracy	Segments	Branch
36.1%	1	`(/.f64 K #s(literal 2 binary64))`
36.1%	1	`K`
36.1%	1	`U`
36.1%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
36.1%	1	`J`
36.1%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.990638149210651e+304	+inf
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.990638149210651e+304	+inf
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.801163002854184e+262	1.6699694464628026e+268
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	5.801163002854184e+262	1.6699694464628026e+268
0.0ms	-1.4758743347604814e+168	-1.4060479077926266e+168
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.4758743347604814e+168	-1.4060479077926266e+168
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.4758743347604814e+168	-1.4060479077926266e+168
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-6.753644845924349e-203	1.3843296913366935e-207
0.0ms	-2.4294915593339443e+166	-4.518848194919189e+160
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch4.0ms (0%)

Memory

-39.5MiB live, 4.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	-5.595159459142022e-129	-1.2118876535535264e-138
0.0ms	-2.4294915593339443e+166	-4.518848194919189e+160
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.6310312380243853e-196	-1.4528828091320438e-202
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.6310312380243853e-196	-1.4528828091320438e-202
0.0ms	-inf	-1.3119095951107692e+301

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify98.0ms (1%)

Memory

1.5MiB live, 102.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1791
1	303	1791
2	586	1791
3	1637	1791
4	5822	1791

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 U J) #s(literal 2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 J #s(literal -2 binary64))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (-.f64 (.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)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.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)))))
(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 100000000000000001617283929500958347809617271215324681096755776296054153530035788436133522496440536428819053303318396315116321724674929173953241540025456475844343490985646025955809392324929988807089135627070664687603614947110183136436054375358690154446666302750720 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)) (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))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 -1450000000000000029795916853589160923945812172003788147106009160399853853872813823948791809203479530915397649484282490733580772677801705304197866194834499743182317682688 binary64)) (.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 100000000000000001617283929500958347809617271215324681096755776296054153530035788436133522496440536428819053303318396315116321724674929173953241540025456475844343490985646025955809392324929988807089135627070664687603614947110183136436054375358690154446666302750720 binary64)) (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 4))) (sqrt (+ -1 (pow (/ (/ U (* 2 J)) (cos (/ K -2))) 2))))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
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(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -19999999999999998808145521010705166047966592201710596460899538287876604513323727676359200508103901138749094785030136715546254981371299096234279431943490294483028803584 binary64)) (.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2206260905240795/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(approx ( (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (* J -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 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -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 -19999999999999998808145521010705166047966592201710596460899538287876604513323727676359200508103901138749094785030136715546254981371299096234279431943490294483028803584 binary64)) (.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #s(literal -2 binary64))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -7804371375789981/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) J))) (.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (cos (/ K -2))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 J #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 (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) J) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Outputs
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(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 -4208108721238699/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 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)))) (fma.f64 (.f64 (/.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) J) (*.f64 J #s(literal -2 binary64)) (neg.f64 U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4208108721238699/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (neg.f64 U)) U)))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4208108721238699/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) U) U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (.f64 (.f64 (/.f64 #s(literal -2 binary64) U) J) J) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

derivations1.5s (14.8%)

Memory

28.0MiB live, 1 390.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	514
0	126	492
1	447	466
2	2668	462
0	8736	456
0	1366	31458
1	5275	30206
0	8212	28305
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
0	83	572
0	133	558
1	439	532
2	3235	508
0	9685	504
0	1012	10291
1	3637	9939
0	8857	9592
0	727	5753
1	2651	5529
0	9521	5253
0	60	361
0	97	359
1	287	341
2	1741	339
0	8330	339

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×	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

Compiler

Compiled 1 791 to 207 computations (88.4% saved)

preprocess255.0ms (2.5%)

Memory

12.3MiB live, 148.9MiB allocated

Remove

(negabs J)

(abs K)

Compiler

Compiled 4 878 to 968 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze467.0ms (4.6%)

sample1.8s (17.9%)

explain296.0ms (2.9%)

preprocess174.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify164.0ms (1.6%)

localize48.0ms (0.5%)

series65.0ms (0.6%)

simplify246.0ms (2.4%)

rewrite197.0ms (1.9%)

eval103.0ms (1%)

prune20.0ms (0.2%)

simplify141.0ms (1.4%)

localize204.0ms (2%)

series219.0ms (2.2%)

simplify257.0ms (2.5%)

rewrite220.0ms (2.2%)

eval150.0ms (1.5%)

prune39.0ms (0.4%)

simplify134.0ms (1.3%)

localize256.0ms (2.5%)

series347.0ms (3.4%)

simplify304.0ms (3%)

rewrite179.0ms (1.8%)

eval249.0ms (2.5%)

prune94.0ms (0.9%)

simplify151.0ms (1.5%)

localize294.0ms (2.9%)

series79.0ms (0.8%)

simplify188.0ms (1.9%)

rewrite227.0ms (2.2%)

eval139.0ms (1.4%)

prune102.0ms (1%)

regimes260.0ms (2.6%)

regimes16.0ms (0.2%)

regimes69.0ms (0.7%)

regimes62.0ms (0.6%)

regimes12.0ms (0.1%)

regimes81.0ms (0.8%)

regimes28.0ms (0.3%)

regimes30.0ms (0.3%)

regimes59.0ms (0.6%)

regimes8.0ms (0.1%)

regimes41.0ms (0.4%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify98.0ms (1%)

derivations1.5s (14.8%)

preprocess255.0ms (2.5%)

end0.0ms (0%)

Profiling